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10023033012 = 22323293074079
BaseRepresentation
bin10010101010110101…
…10101100010110100
3221212112002211110220
421111122311202310
5131011344024022
64334324214340
7503244242406
oct112532654264
927775084426
1010023033012
114283817063
121b3883a3b0
13c396c3285
146b123ab76
153d9e0c85c
hex2556b58b4

10023033012 has 96 divisors (see below), whose sum is σ = 25333862400. Its totient is φ = 3074746752.

The previous prime is 10023032959. The next prime is 10023033019. The reversal of 10023033012 is 21033032001.

10023033012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100230330122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023032982 and 10023033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023033019) by changing a digit.

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, 2455189 + ... + 2459267.

It is an arithmetic number, because the mean of its divisors is an integer number (263894400).

Almost surely, 210023033012 is an apocalyptic number.

10023033012 is a gapful number since it is divisible by the number (12) 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 10023033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666931200).

10023033012 is an abundant number, since it is smaller than the sum of its proper divisors (15310829388).

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

10023033012 is a wasteful number, since it uses less digits than its factorization.

10023033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10023033012 its reverse (21033032001), we get a palindrome (31056065013).

The spelling of 10023033012 in words is "ten billion, twenty-three million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 307 348 614 667 921 1228 1334 1842 2001 2668 3684 4002 4079 7061 8004 8158 8903 12237 14122 16316 17806 21183 24474 26709 28244 35612 42366 48948 53418 84732 93817 106836 118291 187634 204769 236582 281451 354873 375268 409538 473164 562902 614307 709746 819076 1125804 1228614 1252253 1419492 2457228 2504506 2720693 3756759 5009012 5441386 7513518 8162079 10882772 15027036 16324158 28801819 32648316 36315337 57603638 72630674 86405457 108946011 115207276 145261348 172810914 217892022 345621828 435784044 835252751 1670505502 2505758253 3341011004 5011516506 10023033012