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10112112312 = 2331722950273
BaseRepresentation
bin10010110101011101…
…01001011010111000
3222002201201112022020
421122232221122320
5131202200043222
64351225354440
7505405352001
oct113256513270
928081645266
1010112112312
11431a029715
121b62638a20
13c51cb2113
146bcdc81a8
153e2b5665c
hex25aba96b8

10112112312 has 96 divisors (see below), whose sum is σ = 27781412400. Its totient is φ = 3062972416.

The previous prime is 10112112299. The next prime is 10112112347. The reversal of 10112112312 is 21321121101.

It is a junction number, because it is equal to n+sod(n) for n = 10112112291 and 10112112300.

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, 176008 + ... + 226280.

Almost surely, 210112112312 is an apocalyptic number.

10112112312 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 10112112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890706200).

10112112312 is an abundant number, since it is smaller than the sum of its proper divisors (17669300088).

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

10112112312 is a wasteful number, since it uses less digits than its factorization.

10112112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50345 (or 50324 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10112112312 its reverse (21321121101), we get a palindrome (31433233413).

The spelling of 10112112312 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 289 348 408 493 578 696 867 986 1156 1479 1734 1972 2312 2958 3468 3944 5916 6936 8381 11832 16762 25143 33524 50273 50286 67048 100546 100572 150819 201092 201144 301638 402184 603276 854641 1206552 1457917 1709282 2563923 2915834 3418564 4373751 5127846 5831668 6837128 8747502 10255692 11663336 14528897 17495004 20511384 24784589 29057794 34990008 43586691 49569178 58115588 74353767 87173382 99138356 116231176 148707534 174346764 198276712 297415068 348693528 421338013 594830136 842676026 1264014039 1685352052 2528028078 3370704104 5056056156 10112112312