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131222232512 = 267352783047
BaseRepresentation
bin111101000110101110…
…1000101110111000000
3110112201002210002102122
41322031131011313000
54122220342420022
6140141015503412
712323544400310
oct1721535056700
9415632702378
10131222232512
1150718590548
1221522087b68
13c4b3181637
1464cb945440
1536302e1742
hex1e8d745dc0

131222232512 has 56 divisors (see below), whose sum is σ = 297681237504. Its totient is φ = 56221477632.

The previous prime is 131222232509. The next prime is 131222232521. The reversal of 131222232512 is 215232222131.

It is a happy number.

131222232512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1538573 + ... + 1621619.

It is an arithmetic number, because the mean of its divisors is an integer number (5315736384).

Almost surely, 2131222232512 is an apocalyptic number.

It is an amenable number.

131222232512 is an abundant number, since it is smaller than the sum of its proper divisors (166459004992).

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

131222232512 is an equidigital number, since it uses as much as digits as its factorization.

131222232512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86593 (or 86583 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

Adding to 131222232512 its reverse (215232222131), we get a palindrome (346454454643).

The spelling of 131222232512 in words is "one hundred thirty-one billion, two hundred twenty-two million, two hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 3527 7054 14108 24689 28216 49378 56432 83047 98756 112864 166094 197512 225728 332188 395024 581329 664376 790048 1162658 1328752 1580096 2325316 2657504 4650632 5315008 9301264 18602528 37205056 292906769 585813538 1171627076 2050347383 2343254152 4100694766 4686508304 8201389532 9373016608 16402779064 18746033216 32805558128 65611116256 131222232512