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131331001122 = 2327296166729
BaseRepresentation
bin111101001001111110…
…0000000101100100010
3110112222200110002220200
41322103330000230202
54122431214013442
6140155503050030
712326335043046
oct1722374005442
9415880402820
10131331001122
1150773a20a62
12215525a0916
13c4cc875369
1464dc17a026
153639b2934c
hex1e93f00b22

131331001122 has 12 divisors (see below), whose sum is σ = 284550502470. Its totient is φ = 43777000368.

The previous prime is 131331001111. The next prime is 131331001141. The reversal of 131331001122 is 221100133131.

It can be written as a sum of positive squares in only one way, i.e., 69906831201 + 61424169921 = 264399^2 + 247839^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7296166729 = 131331001122 / (1 + 3 + 1 + 3 + 3 + 1 + 0 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 131331001095 and 131331001104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3648083347 + ... + 3648083382.

Almost surely, 2131331001122 is an apocalyptic number.

131331001122 is an abundant number, since it is smaller than the sum of its proper divisors (153219501348).

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

131331001122 is a wasteful number, since it uses less digits than its factorization.

131331001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296166737 (or 7296166734 counting only the distinct ones).

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

Adding to 131331001122 its reverse (221100133131), we get a palindrome (352431134253).

The spelling of 131331001122 in words is "one hundred thirty-one billion, three hundred thirty-one million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 7296166729 14592333458 21888500187 43777000374 65665500561 131331001122