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320130210112 = 26731793131223
BaseRepresentation
bin1001010100010010011…
…11110101100101000000
31010121022102110122200121
410222021033311211000
520221111313210422
6403022113230024
732062060613506
oct4521117654500
91117272418617
10320130210112
11113848181089
1252062b62314
132425a49683b
14116cc840676
1584d9a9a8c7
hex4a893f5940

320130210112 has 112 divisors (see below), whose sum is σ = 650158151040. Its totient is φ = 156360941568.

The previous prime is 320130210107. The next prime is 320130210121. The reversal of 320130210112 is 211012031023.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261757533 + ... + 261758755.

Almost surely, 2320130210112 is an apocalyptic number.

320130210112 is a gapful number since it is divisible by the number (32) 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 320130210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325079075520).

320130210112 is an abundant number, since it is smaller than the sum of its proper divisors (330027940928).

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

320130210112 is a wasteful number, since it uses less digits than its factorization.

320130210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 320130210112 its reverse (211012031023), we get a palindrome (531142241135).

The spelling of 320130210112 in words is "three hundred twenty billion, one hundred thirty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 146 179 292 313 358 584 626 716 1168 1223 1252 1432 2336 2446 2504 2864 4672 4892 5008 5728 9784 10016 11456 13067 19568 20032 22849 26134 39136 45698 52268 56027 78272 89279 91396 104536 112054 178558 182792 209072 218917 224108 357116 365584 382799 418144 437834 448216 714232 731168 765598 836288 875668 896432 1428464 1462336 1531196 1751336 1792864 2856928 3062392 3502672 3585728 4089971 5713856 6124784 7005344 8179942 12249568 14010688 15980941 16359884 24499136 27944327 31961882 32719768 55888654 63923764 65439536 68521021 111777308 127847528 130879072 137042042 223554616 255695056 261758144 274084084 447109232 511390112 548168168 894218464 1022780224 1096336336 1788436928 2192672672 4385345344 5002034533 10004069066 20008138132 40016276264 80032552528 160065105056 320130210112