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13000111110012 = 223131741119561041
BaseRepresentation
bin1011110100101101001100…
…0000010011011101111100
31201000210120002120111120010
42331023103000103131330
53200443211421010022
643352100230023220
72511140605125315
oct275132300233574
951023502514503
1013000111110012
11416235289a354
12155b612aa7b10
13733b9c9bbaa0
1432d2ccaa960c
151782692d350c
hexbd2d301377c

13000111110012 has 96 divisors (see below), whose sum is σ = 35432153918784. Its totient is φ = 3672915148800.

The previous prime is 13000111109977. The next prime is 13000111110031. The reversal of 13000111110012 is 21001111100031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 13000111110012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59671789 + ... + 59889252.

It is an arithmetic number, because the mean of its divisors is an integer number (369084936654).

Almost surely, 213000111110012 is an apocalyptic number.

13000111110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13000111110012 is an abundant number, since it is smaller than the sum of its proper divisors (22432042808772).

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

13000111110012 is a wasteful number, since it uses less digits than its factorization.

13000111110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119561119 (or 119561117 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 13000111110012 its reverse (21001111100031), we get a palindrome (34001222210043).

The spelling of 13000111110012 in words is "thirteen trillion, one hundred eleven million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 41 51 52 68 78 82 102 123 156 164 204 221 246 442 492 533 663 697 884 1066 1326 1394 1599 2091 2132 2652 2788 3198 4182 6396 8364 9061 18122 27183 36244 54366 108732 119561041 239122082 358683123 478244164 717366246 1434732492 1554293533 2032537697 3108587066 4065075394 4662880599 4902002681 6097613091 6217174132 8130150788 9325761198 9804005362 12195226182 14706008043 18651522396 19608010724 24390452364 26422990061 29412016086 52845980122 58824032172 63726034853 79268970183 83334045577 105691960244 127452069706 158537940366 166668091154 191178104559 250002136731 254904139412 317075880732 333336182308 382356209118 500004273462 764712418236 1000008546924 1083342592501 2166685185002 3250027777503 4333370370004 6500055555006 13000111110012