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323013332110112 = 25738925931429619
BaseRepresentation
bin100100101110001110110011…
…0111010110000101100100000
31120100200202212111101201211222
41021130131212322300230200
5314314222301010010422
63102554135355154212
7125015641330030550
oct11134354672605440
91510622774351758
10323013332110112
1193a16204043956
123028a193445968
1310b3104634b7a7
1459a9d00487160
1527524b85dd842
hex125c766eb0b20

323013332110112 has 96 divisors (see below), whose sum is σ = 728929842076800. Its totient is φ = 138025065996288.

The previous prime is 323013332110081. The next prime is 323013332110123. The reversal of 323013332110112 is 211011233310323.

It is a super-2 number, since 2×3230133321101122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225228839 + ... + 226658457.

It is an arithmetic number, because the mean of its divisors is an integer number (7593019188300).

Almost surely, 2323013332110112 is an apocalyptic number.

323013332110112 is a gapful number since it is divisible by the number (32) 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 323013332110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364464921038400).

323013332110112 is an abundant number, since it is smaller than the sum of its proper divisors (405916509966688).

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

323013332110112 is a wasteful number, since it uses less digits than its factorization.

323013332110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432618 (or 1432610 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 323013332110112 its reverse (211011233310323), we get a palindrome (534024565420435).

The spelling of 323013332110112 in words is "three hundred twenty-three trillion, thirteen billion, three hundred thirty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 389 778 1556 2593 2723 3112 5186 5446 6224 10372 10892 12448 18151 20744 21784 36302 41488 43568 72604 82976 87136 145208 290416 580832 1008677 1429619 2017354 2859238 4034708 5718476 7060739 8069416 10007333 11436952 14121478 16138832 20014666 22873904 28242956 32277664 40029332 45747808 56485912 80058664 112971824 160117328 225943648 320234656 556121791 1112243582 2224487164 3707002067 3892852537 4448974328 7414004134 7785705074 8897948656 14828008268 15571410148 17795897312 25949014469 29656016536 31142820296 51898028938 59312033072 62285640592 103796057876 118624066144 124571281184 207592115752 415184231504 830368463008 1442023804063 2884047608126 5768095216252 10094166628441 11536190432504 20188333256882 23072380865008 40376666513764 46144761730016 80753333027528 161506666055056 323013332110112