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102312031021200 = 24325271113374491709
BaseRepresentation
bin10111010000110101100000…
…010000111110100010010000
3111102020221020100120121102200
4113100311200100332202100
5101402240014420134300
61001333255335243200
730356541335440350
oct2720654020764220
9442227210517380
10102312031021200
112a66631a273590
12b584910219500
134511ca1c12470
141b39d005b8b60
15bc65862a8200
hex5d0d6043e890

102312031021200 has 2880 divisors, whose sum is σ = 490973700672000. Its totient is φ = 19040226508800.

The previous prime is 102312031021199. The next prime is 102312031021247. The reversal of 102312031021200 is 2120130213201.

102312031021200 is a `hidden beast` number, since 1 + 0 + 2 + 312 + 0 + 310 + 21 + 20 + 0 = 666.

It is a super-2 number, since 2×1023120310212002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 59866605946 + ... + 59866607654.

It is an arithmetic number, because the mean of its divisors is an integer number (170476979400).

Almost surely, 2102312031021200 is an apocalyptic number.

102312031021200 is a gapful number since it is divisible by the number (10) 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 102312031021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245486850336000).

102312031021200 is an abundant number, since it is smaller than the sum of its proper divisors (388661669650800).

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

102312031021200 is a wasteful number, since it uses less digits than its factorization.

102312031021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102312031021200 its reverse (2120130213201), we get a palindrome (104432161234401).

The spelling of 102312031021200 in words is "one hundred two trillion, three hundred twelve billion, thirty-one million, twenty-one thousand, two hundred".