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10112310012 = 2237377694231
BaseRepresentation
bin10010110101011110…
…11001101011111100
3222002202002120111110
421122233121223330
5131202222410022
64351233522020
7505410134250
oct113257315374
928082076443
1010112310012
11431a154202
121b62713310
13c520510bc
146bd03a260
153e2b9500c
hex25abd9afc

10112310012 has 96 divisors (see below), whose sum is σ = 27737543680. Its totient is φ = 2806824960.

The previous prime is 10112309989. The next prime is 10112310023. The reversal of 10112310012 is 21001321101.

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 10112310012.

It is a congruent number.

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, 2387937 + ... + 2392167.

Almost surely, 210112310012 is an apocalyptic number.

10112310012 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 10112310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868771840).

10112310012 is an abundant number, since it is smaller than the sum of its proper divisors (17625233668).

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

10112310012 is a wasteful number, since it uses less digits than its factorization.

10112310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5049 counting only the distinct ones).

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

Adding to 10112310012 its reverse (21001321101), we get a palindrome (31113631113).

The spelling of 10112310012 in words is "ten billion, one hundred twelve million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 769 777 1036 1538 1554 2307 3076 3108 4231 4614 5383 8462 9228 10766 12693 16149 16924 21532 25386 28453 29617 32298 50772 56906 59234 64596 85359 88851 113812 118468 156547 170718 177702 199171 313094 341436 355404 398342 469641 597513 626188 796684 939282 1095829 1195026 1878564 2191658 2390052 3253639 3287487 4383316 6507278 6574974 9760917 13014556 13149948 19521834 22775473 39043668 45550946 68326419 91101892 120384643 136652838 240769286 273305676 361153929 481538572 722307858 842692501 1444615716 1685385002 2528077503 3370770004 5056155006 10112310012