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131331323322 = 2341249649069
BaseRepresentation
bin111101001001111110…
…1001111010110111010
3110112222201001110220000
41322103331033112322
54122431304321242
6140155514013430
712326340554313
oct1722375172672
9415881043800
10131331323322
1150774121041
1221552717276
13c4cc958c04
1464dc22160a
153639b8ea4c
hex1e93f4f5ba

131331323322 has 40 divisors (see below), whose sum is σ = 294515512500. Its totient is φ = 43741990656.

The previous prime is 131331323317. The next prime is 131331323359. The reversal of 131331323322 is 223323133131.

131331323322 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 313 + 23 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131023004841 + 308318481 = 361971^2 + 17559^2 .

It is a super-2 number, since 2×1313313233222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122197 + ... + 526872.

Almost surely, 2131331323322 is an apocalyptic number.

131331323322 is an abundant number, since it is smaller than the sum of its proper divisors (163184189178).

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

131331323322 is a wasteful number, since it uses less digits than its factorization.

131331323322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650332 (or 650323 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131331323322 its reverse (223323133131), we get a palindrome (354654456453).

The spelling of 131331323322 in words is "one hundred thirty-one billion, three hundred thirty-one million, three hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1249 2498 3747 7494 11241 22482 33723 67446 101169 202338 649069 1298138 1947207 3894414 5841621 11683242 17524863 35049726 52574589 105149178 810687181 1621374362 2432061543 4864123086 7296184629 14592369258 21888553887 43777107774 65665661661 131331323322