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131231212200 = 2332521124112749
BaseRepresentation
bin111101000110111111…
…1010110001010101000
3110112201201200022020200
41322031333112022220
54122230142242300
6140141540152200
712324013620204
oct1721577261250
9415651608220
10131231212200
1150722664080
1221525098660
13c4b4ca696a
1464ccc01b04
153630eb7200
hex1e8dfd62a8

131231212200 has 288 divisors, whose sum is σ = 481157820000. Its totient is φ = 31788864000.

The previous prime is 131231212199. The next prime is 131231212213. The reversal of 131231212200 is 2212132131.

131231212200 is a `hidden beast` number, since 131 + 2 + 312 + 1 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47736426 + ... + 47739174.

It is an arithmetic number, because the mean of its divisors is an integer number (1670686875).

Almost surely, 2131231212200 is an apocalyptic number.

131231212200 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 131231212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240578910000).

131231212200 is an abundant number, since it is smaller than the sum of its proper divisors (349926607800).

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

131231212200 is a wasteful number, since it uses less digits than its factorization.

131231212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5181 counting only the distinct ones).

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

Adding to 131231212200 its reverse (2212132131), we get a palindrome (133443344331).

The spelling of 131231212200 in words is "one hundred thirty-one billion, two hundred thirty-one million, two hundred twelve thousand, two hundred".