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10022012112 = 2437279110687
BaseRepresentation
bin10010101010101101…
…11100010011010000
3221212110011222001210
421111112330103100
5131011113341422
64334250300120
7503232461130
oct112526742320
927773158053
1010022012112
11428318a042
121b38427640
13c394266a8
146b1052ac0
153d9caa10c
hex2555bc4d0

10022012112 has 80 divisors (see below), whose sum is σ = 29602168832. Its totient is φ = 2862138240.

The previous prime is 10022012069. The next prime is 10022012113. The reversal of 10022012112 is 21121022001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022012113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932433 + ... + 943119.

Almost surely, 210022012112 is an apocalyptic number.

10022012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022012112 is an abundant number, since it is smaller than the sum of its proper divisors (19580156720).

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

10022012112 is a wasteful number, since it uses less digits than its factorization.

10022012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13496 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Subtracting from 10022012112 its sum of digits (12), we obtain a square (10022012100 = 1001102).

Adding to 10022012112 its reverse (21121022001), we get a palindrome (31143034113).

The spelling of 10022012112 in words is "ten billion, twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2791 5582 8373 10687 11164 16746 19537 21374 22328 32061 33492 39074 42748 44656 58611 64122 66984 74809 78148 85496 117222 128244 133968 149618 156296 170992 224427 234444 256488 299236 312592 448854 468888 512976 598472 897708 937776 1196944 1795416 3590832 29827417 59654834 89482251 119309668 178964502 208791919 238619336 357929004 417583838 477238672 626375757 715858008 835167676 1252751514 1431716016 1670335352 2505503028 3340670704 5011006056 10022012112