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10013332032 = 2632111580387
BaseRepresentation
bin10010101001101011…
…10101001001000000
3221211211211222020100
421110311311021000
5131001403111112
64333340242400
7503065626564
oct112465651100
927754758210
1010013332032
1142792a0620
121b35540400
13c376a7852
146adc336a4
153d91432dc
hex254d75240

10013332032 has 84 divisors (see below), whose sum is σ = 31310647056. Its totient is φ = 3034341120.

The previous prime is 10013332031. The next prime is 10013332033. The reversal of 10013332032 is 23023331001.

It is an interprime number because it is at equal distance from previous prime (10013332031) and next prime (10013332033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10013331996 and 10013332014.

It is not an unprimeable number, because it can be changed into a prime (10013332031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783858 + ... + 796529.

Almost surely, 210013332032 is an apocalyptic number.

10013332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10013332032 is an abundant number, since it is smaller than the sum of its proper divisors (21297315024).

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

10013332032 is a wasteful number, since it uses less digits than its factorization.

10013332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580416 (or 1580403 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10013332032 its reverse (23023331001), we get a palindrome (33036663033).

The spelling of 10013332032 in words is "ten billion, thirteen million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 1580387 3160774 4741161 6321548 9482322 12643096 14223483 17384257 18964644 25286192 28446966 34768514 37929288 50572384 52152771 56893932 69537028 75858576 101144768 104305542 113787864 139074056 151717152 156458313 208611084 227575728 278148112 303434304 312916626 417222168 455151456 556296224 625833252 834444336 910302912 1112592448 1251666504 1668888672 2503333008 3337777344 5006666016 10013332032