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10023328332 = 22322331390499
BaseRepresentation
bin10010101010110111…
…11101101001001100
3221212112122211120200
421111123331221030
5131011433001312
64334334413500
7503246612403
oct112533755114
927775584520
1010023328332
1142839a8a26
121b38961290
13c39797814
146b12b663a
153d9e6a0dc
hex2556fda4c

10023328332 has 72 divisors (see below), whose sum is σ = 27291264000. Its totient is φ = 3092744160.

The previous prime is 10023328331. The next prime is 10023328411. The reversal of 10023328332 is 23382332001.

10023328332 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 328 + 332 = 666.

It is a super-2 number, since 2×100233283322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023328296 and 10023328305.

It is not an unprimeable number, because it can be changed into a prime (10023328331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169582 + ... + 220917.

Almost surely, 210023328332 is an apocalyptic number.

10023328332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023328332 is an abundant number, since it is smaller than the sum of its proper divisors (17267935668).

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

10023328332 is a wasteful number, since it uses less digits than its factorization.

10023328332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390563 (or 390558 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 10023328332 in words is "ten billion, twenty-three million, three hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668 390499 780998 1171497 1561996 2342994 3514491 4685988 7028982 8981477 12105469 14057964 17962954 24210938 26944431 35925908 36316407 48421876 53888862 72632814 80833293 107777724 108949221 145265628 161666586 217898442 278425787 323333172 435796884 556851574 835277361 1113703148 1670554722 2505832083 3341109444 5011664166 10023328332