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321031310112 = 25321459764011
BaseRepresentation
bin1001010101111101111…
…01010000101100100000
31010200122020001021111200
410222332331100230200
520224433003410422
6403251343041200
732123312053302
oct4527675205440
91120566037450
10321031310112
1111416a894927
12522748a0200
1324372086ac6
14117763a5972
15853dc432ac
hex4abef50b20

321031310112 has 72 divisors (see below), whose sum is σ = 913559708880. Its totient is φ = 106936951680.

The previous prime is 321031310077. The next prime is 321031310113. The reversal of 321031310112 is 211013130123.

321031310112 is a `hidden beast` number, since 3 + 210 + 31 + 310 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3210313101122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (321031310113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38187 + ... + 802197.

It is an arithmetic number, because the mean of its divisors is an integer number (12688329290).

Almost surely, 2321031310112 is an apocalyptic number.

321031310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321031310112 is an abundant number, since it is smaller than the sum of its proper divisors (592528398768).

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

321031310112 is a wasteful number, since it uses less digits than its factorization.

321031310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765486 (or 765475 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321031310112 its reverse (211013130123), we get a palindrome (532044440235).

The spelling of 321031310112 in words is "three hundred twenty-one billion, thirty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1459 2918 4377 5836 8754 11672 13131 17508 23344 26262 35016 46688 52524 70032 105048 140064 210096 420192 764011 1528022 2292033 3056044 4584066 6112088 6876099 9168132 12224176 13752198 18336264 24448352 27504396 36672528 55008792 73345056 110017584 220035168 1114692049 2229384098 3344076147 4458768196 6688152294 8917536392 10032228441 13376304588 17835072784 20064456882 26752609176 35670145568 40128913764 53505218352 80257827528 107010436704 160515655056 321031310112