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10131023112 = 2337179073911
BaseRepresentation
bin10010110111101101…
…10010010100001000
3222011001022022001020
421123312302110020
5131222020214422
64353142552440
7506025163350
oct113366622410
928131268036
1010131023112
114329775681
121b68a38720
13c55ba3842
146c170bb60
153e463e95c
hex25bdb2508

10131023112 has 128 divisors (see below), whose sum is σ = 30690109440. Its totient is φ = 2720609280.

The previous prime is 10131023099. The next prime is 10131023143. The reversal of 10131023112 is 21132013101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10131023091 and 10131023100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588437 + ... + 2592347.

It is an arithmetic number, because the mean of its divisors is an integer number (239766480).

Almost surely, 210131023112 is an apocalyptic number.

10131023112 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 10131023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345054720).

10131023112 is an abundant number, since it is smaller than the sum of its proper divisors (20559086328).

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

10131023112 is a wasteful number, since it uses less digits than its factorization.

10131023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10131023112 its reverse (21132013101), we get a palindrome (31263036213).

The spelling of 10131023112 in words is "ten billion, one hundred thirty-one million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 907 952 1428 1814 2721 2856 3628 3911 5442 6349 7256 7822 10884 11733 12698 15419 15644 19047 21768 23466 25396 27377 30838 31288 38094 46257 46932 50792 54754 61676 66487 76188 82131 92514 93864 107933 109508 123352 132974 152376 164262 185028 199461 215866 219016 265948 323799 328524 370056 398922 431732 465409 531896 647598 657048 797844 863464 930818 1295196 1396227 1595688 1861636 2590392 2792454 3547277 3723272 5584908 7094554 10641831 11169816 14189108 21283662 24830939 28378216 42567324 49661878 60303709 74492817 85134648 99323756 120607418 148985634 180911127 198647512 241214836 297971268 361822254 422125963 482429672 595942536 723644508 844251926 1266377889 1447289016 1688503852 2532755778 3377007704 5065511556 10131023112