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2312023120 = 245111729091
BaseRepresentation
bin1000100111001110…
…1010110001010000
312222010110221110221
42021303222301100
514213334214440
61021230402424
7111202605121
oct21163526120
95863427427
102312023120
11a87093210
12546360414
132aacc4824
1417d0bc048
15d7e98d4a
hex89ceac50

2312023120 has 120 divisors (see below), whose sum is σ = 6230056608. Its totient is φ = 791193600.

The previous prime is 2312023117. The next prime is 2312023139. The reversal of 2312023120 is 213202132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2312023094 and 2312023103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249775 + ... + 258865.

Almost surely, 22312023120 is an apocalyptic number.

2312023120 is a gapful number since it is divisible by the number (20) 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 2312023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115028304).

2312023120 is an abundant number, since it is smaller than the sum of its proper divisors (3918033488).

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

2312023120 is a wasteful number, since it uses less digits than its factorization.

2312023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9149 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2312023120 is about 48083.5015363898. The cubic root of 2312023120 is about 1322.3022113362.

Adding to 2312023120 its reverse (213202132), we get a palindrome (2525225252).

The spelling of 2312023120 in words is "two billion, three hundred twelve million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 289 340 374 440 578 680 748 880 935 1156 1360 1445 1496 1870 2312 2890 2992 3179 3740 4624 5780 6358 7480 9091 11560 12716 14960 15895 18182 23120 25432 31790 36364 45455 50864 63580 72728 90910 100001 127160 145456 154547 181820 200002 254320 309094 363640 400004 500005 618188 727280 772735 800008 1000010 1236376 1545470 1600016 1700017 2000020 2472752 2627299 3090940 3400034 4000040 5254598 6181880 6800068 8000080 8500085 10509196 12363760 13136495 13600136 17000170 21018392 26272990 27200272 28900289 34000340 42036784 52545980 57800578 68000680 105091960 115601156 136001360 144501445 210183920 231202312 289002890 462404624 578005780 1156011560 2312023120