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10013023332 = 22341319125119
BaseRepresentation
bin10010101001101001…
…01001110001100100
3221211211021021210000
421110310221301210
5131001313221312
64333325501300
7503063202564
oct112464516144
927754237700
1010013023332
1142790aa6a4
121b35411830
13c375ca1a0
146adb92da4
153d90d1adc
hex254d29c64

10013023332 has 120 divisors (see below), whose sum is σ = 29673459200. Its totient is φ = 2918752704.

The previous prime is 10013023327. The next prime is 10013023373. The reversal of 10013023332 is 23332031001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17469 + ... + 142587.

Almost surely, 210013023332 is an apocalyptic number.

10013023332 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 10013023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836729600).

10013023332 is an abundant number, since it is smaller than the sum of its proper divisors (19660435868).

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

10013023332 is a wasteful number, since it uses less digits than its factorization.

10013023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125167 (or 125156 counting only the distinct ones).

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

Adding to 10013023332 its reverse (23332031001), we get a palindrome (33345054333).

The spelling of 10013023332 in words is "ten billion, thirteen million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1404 1482 1539 2052 2106 2223 2964 3078 4212 4446 6156 6669 8892 13338 20007 26676 40014 80028 125119 250238 375357 500476 750714 1126071 1501428 1626547 2252142 2377261 3253094 3378213 4504284 4754522 4879641 6506188 6756426 7131783 9509044 9759282 10134639 13512852 14263566 14638923 19518564 20269278 21395349 28527132 29277846 30904393 40538556 42790698 43916769 58555692 61808786 64186047 85581396 87833538 92713179 123617572 128372094 131750307 175667076 185426358 192558141 256744188 263500614 278139537 370852716 385116282 527001228 556279074 770232564 834418611 1112558148 1668837222 2503255833 3337674444 5006511666 10013023332