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13100430112 = 2571117218397
BaseRepresentation
bin11000011001101100…
…01011001100100000
31020210222202210200021
430030312023030200
5203312202230422
610003535403224
7642432550540
oct141466131440
936728683607
1013100430112
115612940050
122657383514
13130a1361c3
148c3c2d320
1551a18ddc7
hex30cd8b320

13100430112 has 144 divisors (see below), whose sum is σ = 34160228928. Its totient is φ = 4803563520.

The previous prime is 13100430103. The next prime is 13100430143. The reversal of 13100430112 is 21103400131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702898 + ... + 721294.

It is an arithmetic number, because the mean of its divisors is an integer number (237223812).

Almost surely, 213100430112 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 13100430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080114464).

13100430112 is an abundant number, since it is smaller than the sum of its proper divisors (21059798816).

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

13100430112 is a wasteful number, since it uses less digits than its factorization.

13100430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18459 (or 18434 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13100430112 its reverse (21103400131), we get a palindrome (34203830243).

The spelling of 13100430112 in words is "thirteen billion, one hundred million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 289 308 352 374 476 544 578 616 748 952 1156 1232 1309 1496 1904 2023 2312 2464 2618 2992 3179 3808 4046 4624 5236 5984 6358 8092 9248 10472 12716 16184 18397 20944 22253 25432 32368 36794 41888 44506 50864 64736 73588 89012 101728 128779 147176 178024 202367 257558 294352 312749 356048 404734 515116 588704 625498 712096 809468 1030232 1250996 1416569 1618936 2060464 2189243 2501992 2833138 3237872 3440239 4120928 4378486 5003984 5316733 5666276 6475744 6880478 8756972 10007968 10633466 11332552 13760956 17513944 21266932 22665104 24081673 27521912 35027888 37217131 42533864 45330208 48163346 55043824 58484063 70055776 74434262 85067728 96326692 110087648 116968126 148868524 170135456 192653384 233936252 297737048 385306768 409388441 467872504 595474096 770613536 818776882 935745008 1190948192 1637553764 1871490016 3275107528 6550215056 13100430112