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131122200312 = 23323115855761
BaseRepresentation
bin111101000011101111…
…1011111111011111000
3110112110010112221001100
41322013133133323320
54122014240402222
6140123043451400
712321221212245
oct1720737377370
9415403487040
10131122200312
1150677077904
12214b4686b60
13c49852929c
1464bc5465cc
1536266324ac
hex1e877dfef8

131122200312 has 48 divisors (see below), whose sum is σ = 356264560080. Its totient is φ = 43566854400.

The previous prime is 131122200311. The next prime is 131122200329. The reversal of 131122200312 is 213002221131.

131122200312 is a `hidden beast` number, since 1 + 31 + 122 + 200 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122200311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2905489 + ... + 2950272.

It is an arithmetic number, because the mean of its divisors is an integer number (7422178335).

Almost surely, 2131122200312 is an apocalyptic number.

131122200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131122200312 is an abundant number, since it is smaller than the sum of its proper divisors (225142359768).

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

131122200312 is a wasteful number, since it uses less digits than its factorization.

131122200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856084 (or 5856077 counting only the distinct ones).

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

Adding to 131122200312 its reverse (213002221131), we get a palindrome (344124421443).

The spelling of 131122200312 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 311 622 933 1244 1866 2488 2799 3732 5598 7464 11196 22392 5855761 11711522 17567283 23423044 35134566 46846088 52701849 70269132 105403698 140538264 210807396 421614792 1821141671 3642283342 5463425013 7284566684 10926850026 14569133368 16390275039 21853700052 32780550078 43707400104 65561100156 131122200312