Search a number
-
+
131120344215441 = 3272081275305007
BaseRepresentation
bin11101110100000011010101…
…100010100010111110010001
3122012020222112020022021120100
4131310003111202202332101
5114141233431104343231
61142511504330403013
736422063235335460
oct3564032542427621
9565228466267510
10131120344215441
113886290a011409
1212858001b90469
135821798147359
1424543895509d7
151025b1b10a1e6
hex7740d58a2f91

131120344215441 has 12 divisors (see below), whose sum is σ = 216452631720832. Its totient is φ = 74925910980216.

The previous prime is 131120344215359. The next prime is 131120344215493. The reversal of 131120344215441 is 144512443021131.

131120344215441 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 20 + 3 + 442 + 154 + 41 = 666.

It is not a de Polignac number, because 131120344215441 - 231 = 131118196731793 is a prime.

It is a super-3 number, since 3×1311203442154413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131120344215396 and 131120344215405.

It is not an unprimeable number, because it can be changed into a prime (131120344225441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1040637652441 + ... + 1040637652566.

Almost surely, 2131120344215441 is an apocalyptic number.

It is an amenable number.

131120344215441 is a deficient number, since it is larger than the sum of its proper divisors (85332287505391).

131120344215441 is a wasteful number, since it uses less digits than its factorization.

131120344215441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081275305020 (or 2081275305017 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 131120344215441 its reverse (144512443021131), we get a palindrome (275632787236572).

The spelling of 131120344215441 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred forty-four million, two hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 2081275305007 6243825915021 14568927135049 18731477745063 43706781405147 131120344215441