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10124044112 = 2471359671759
BaseRepresentation
bin10010110110111000…
…01010011101010000
3222010120011201122202
421123130022131100
5131213223402422
64352333222332
7505611645410
oct113334123520
928116151582
1010124044112
114325839206
121b666319a8
13c545cc060
146c0812640
153e3c11b92
hex25b70a750

10124044112 has 160 divisors (see below), whose sum is σ = 24931737600. Its totient is φ = 3876263424.

The previous prime is 10124044111. The next prime is 10124044127. The reversal of 10124044112 is 21144042101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124044111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5754689 + ... + 5756447.

It is an arithmetic number, because the mean of its divisors is an integer number (155823360).

Almost surely, 210124044112 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 10124044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465868800).

10124044112 is an abundant number, since it is smaller than the sum of its proper divisors (14807693488).

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

10124044112 is a wasteful number, since it uses less digits than its factorization.

10124044112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10124044112 its reverse (21144042101), we get a palindrome (31268086213).

The spelling of 10124044112 in words is "ten billion, one hundred twenty-four million, forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 59 67 91 104 112 118 134 182 208 236 268 364 413 469 472 536 728 767 826 871 938 944 1072 1456 1534 1652 1742 1759 1876 3068 3304 3484 3518 3752 3953 5369 6097 6136 6608 6968 7036 7504 7906 10738 12194 12272 12313 13936 14072 15812 21476 22867 24388 24626 27671 28144 31624 42952 45734 48776 49252 51389 55342 63248 85904 91468 97552 98504 102778 103781 110684 117853 160069 182936 197008 205556 207562 221368 235706 320138 359723 365872 411112 415124 442736 471412 640276 719446 726467 822224 824971 830248 942824 1280552 1349153 1438892 1452934 1532089 1649942 1660496 1885648 2561104 2698306 2877784 2905868 3064178 3299884 5396612 5755568 5811736 6128356 6599768 6953327 9444071 10724623 10793224 11623472 12256712 13199536 13906654 18888142 21449246 21586448 24513424 27813308 37776284 42898492 48673289 55626616 75552568 85796984 90393251 97346578 111253232 151105136 171593968 180786502 194693156 361573004 389386312 632752757 723146008 778772624 1265505514 1446292016 2531011028 5062022056 10124044112