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13112117904 = 243477973571
BaseRepresentation
bin11000011011000101…
…10000101010010000
31020211210202121022110
430031202300222100
5203323200233104
610005034105320
7642634106664
oct141542605220
936753677273
1013112117904
1156194a3286
12265b27b240
13130c699062
148c55d28a4
1551b1ebe89
hex30d8b0a90

13112117904 has 80 divisors (see below), whose sum is σ = 35032043520. Its totient is φ = 4223506560.

The previous prime is 13112117899. The next prime is 13112117927. The reversal of 13112117904 is 40971121131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141439 + ... + 215009.

It is an arithmetic number, because the mean of its divisors is an integer number (437900544).

Almost surely, 213112117904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112117904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516021760).

13112117904 is an abundant number, since it is smaller than the sum of its proper divisors (21919925616).

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

13112117904 is a wasteful number, since it uses less digits than its factorization.

13112117904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73708 (or 73702 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 13112117904 in words is "thirteen billion, one hundred twelve million, one hundred seventeen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 79 94 141 158 188 237 282 316 376 474 564 632 752 948 1128 1264 1896 2256 3713 3792 7426 11139 14852 22278 29704 44556 59408 73571 89112 147142 178224 220713 294284 441426 588568 882852 1177136 1765704 3457837 3531408 5812109 6915674 10373511 11624218 13831348 17436327 20747022 23248436 27662696 34872654 41494044 46496872 55325392 69745308 82988088 92993744 139490616 165976176 273169123 278981232 546338246 819507369 1092676492 1639014738 2185352984 3278029476 4370705968 6556058952 13112117904