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10344255012 = 2234713350843
BaseRepresentation
bin10011010001001000…
…01100111000100100
3222200220112121020000
421220210030320210
5132141112130022
64430241141300
7514224500610
oct115044147044
928626477200
1010344255012
114429075993
12200832a830
13c8b111770
14701b76340
1540820e6ac
hex26890ce24

10344255012 has 120 divisors (see below), whose sum is σ = 33282465216. Its totient is φ = 2728147392.

The previous prime is 10344255001. The next prime is 10344255041. The reversal of 10344255012 is 21055244301.

10344255012 is a `hidden beast` number, since 103 + 4 + 4 + 2 + 550 + 1 + 2 = 666.

It is a super-2 number, since 2×103442550122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 145938 + ... + 204905.

Almost surely, 210344255012 is an apocalyptic number.

10344255012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10344255012 is an abundant number, since it is smaller than the sum of its proper divisors (22938210204).

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

10344255012 is a wasteful number, since it uses less digits than its factorization.

10344255012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350879 (or 350868 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10344255012 its reverse (21055244301), we get a palindrome (31399499313).

It can be divided in two parts, 10344 and 255012, that added together give a triangular number (265356 = T728).

The spelling of 10344255012 in words is "ten billion, three hundred forty-four million, two hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 350843 701686 1052529 1403372 2105058 2455901 3157587 4210116 4560959 4911802 6315174 7367703 9121918 9472761 9823604 12630348 13682877 14735406 18243836 18945522 22103109 27365754 28418283 29470812 31926713 37891044 41048631 44206218 54731508 56836566 63853426 66309327 82097262 88412436 95780139 113673132 123145893 127706852 132618654 164194524 191560278 198927981 246291786 265237308 287340417 369437679 383120556 397855962 492583572 574680834 738875358 795711924 862021251 1149361668 1477750716 1724042502 2586063753 3448085004 5172127506 10344255012