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10040322112 = 262389173443
BaseRepresentation
bin10010101100111001…
…10010100001000000
3221220201122012122221
421112130302201000
5131030310301422
64340142540424
7503544221062
oct112634624100
927821565587
1010040322112
114292555677
121b42597714
13c40167802
146b365b732
153db6c53c7
hex256732840

10040322112 has 112 divisors (see below), whose sum is σ = 21192865920. Its totient is φ = 4709838848.

The previous prime is 10040322101. The next prime is 10040322139. The reversal of 10040322112 is 21122304001.

It is a super-2 number, since 2×100403221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22664163 + ... + 22664605.

Almost surely, 210040322112 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 10040322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596432960).

10040322112 is an abundant number, since it is smaller than the sum of its proper divisors (11152543808).

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

10040322112 is a wasteful number, since it uses less digits than its factorization.

10040322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10040322112 its reverse (21122304001), we get a palindrome (31162626113).

The spelling of 10040322112 in words is "ten billion, forty million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 173 178 184 346 356 368 443 692 712 736 886 1384 1424 1472 1772 2047 2768 2848 3544 3979 4094 5536 5696 7088 7958 8188 10189 11072 14176 15397 15916 16376 20378 28352 30794 31832 32752 39427 40756 61588 63664 65504 76639 78854 81512 123176 127328 131008 153278 157708 163024 246352 254656 306556 315416 326048 354131 492704 613112 630832 652096 708262 906821 985408 1226224 1261664 1416524 1762697 1813642 2452448 2523328 2833048 3525394 3627284 4904896 5666096 6820871 7050788 7254568 11332192 13641742 14101576 14509136 22664384 27283484 28203152 29018272 54566968 56406304 58036544 109133936 112812608 156880033 218267872 313760066 436535744 627520132 1255040264 2510080528 5020161056 10040322112