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112311323102000 = 2453119091561551
BaseRepresentation
bin11001100010010110000100…
…100001001000101100110000
3112201122212011012201211200102
4121202112010201020230300
5104210102042203231000
61034511035355211532
732441140166651411
oct3142260441105460
9481585135654612
10112311323102000
1132870a67a39410
121071a82aa46ba8
134a88bb24b7b89
141da3c7b6ab808
15ceb71deb23d5
hex662584848b30

112311323102000 has 160 divisors (see below), whose sum is σ = 296289965657088. Its totient is φ = 40835916000000.

The previous prime is 112311323101979. The next prime is 112311323102053. The reversal of 112311323102000 is 201323113211.

It is a happy number.

It is a super-2 number, since 2×1123113231020002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199721225 + ... + 200282775.

Almost surely, 2112311323102000 is an apocalyptic number.

112311323102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112311323102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148144982828544).

112311323102000 is an abundant number, since it is smaller than the sum of its proper divisors (183978642555088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112311323102000 is a wasteful number, since it uses less digits than its factorization.

112311323102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570676 (or 570660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 112311323102000 its reverse (201323113211), we get a palindrome (112512646215211).

It can be divided in two parts, 11231 and 1323102000, that added together give a palindrome (1323113231).

The spelling of 112311323102000 in words is "one hundred twelve trillion, three hundred eleven billion, three hundred twenty-three million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 9091 11000 18182 22000 36364 45455 72728 90910 100001 145456 181820 200002 227275 363640 400004 454550 500005 561551 727280 800008 909100 1000010 1123102 1136375 1600016 1818200 2000020 2246204 2272750 2500025 2807755 3636400 4000040 4492408 4545500 5000050 5615510 6177061 8000080 8984816 9091000 10000100 11231020 12354122 12500125 14038775 18182000 20000200 22462040 24708244 25000250 28077550 30885305 40000400 44924080 49416488 50000500 56155100 61770610 70193875 98832976 100001000 112310200 123541220 140387750 154426525 200002000 224620400 247082440 280775500 308853050 494164880 561551000 617706100 772132625 1123102000 1235412200 1544265250 2470824400 3088530500 5105060141 6177061000 10210120282 12354122000 20420240564 25525300705 40840481128 51050601410 56155661551 81680962256 102101202820 112311323102 127626503525 204202405640 224622646204 255253007050 280778307755 408404811280 449245292408 510506014100 561556615510 638132517625 898490584816 1021012028200 1123113231020 1276265035250 1403891538775 2042024056400 2246226462040 2552530070500 2807783077550 4492452924080 5105060141000 5615566155100 7019457693875 10210120282000 11231132310200 14038915387750 22462264620400 28077830775500 56155661551000 112311323102000