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130122211131 = 3411146040641
BaseRepresentation
bin111100100101111100…
…0110101111100111011
3110102212102220012210000
41321023320311330323
54112442241224011
6135435522324043
712254356355013
oct1711370657473
9412772805700
10130122211131
1150203661170
12212757b9623
13c3692c4003
1464257dcc43
1535b8954356
hex1e4be35f3b

130122211131 has 20 divisors (see below), whose sum is σ = 212051012184. Its totient is φ = 78861945600.

The previous prime is 130122211103. The next prime is 130122211169. The reversal of 130122211131 is 131112221031.

130122211131 is a `hidden beast` number, since 1 + 301 + 22 + 211 + 131 = 666.

It is not a de Polignac number, because 130122211131 - 25 = 130122211099 is a prime.

It is a super-2 number, since 2×1301222111312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130122211181) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73019430 + ... + 73021211.

Almost surely, 2130122211131 is an apocalyptic number.

130122211131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130122211131 is a deficient number, since it is larger than the sum of its proper divisors (81928801053).

130122211131 is a wasteful number, since it uses less digits than its factorization.

130122211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146040664 (or 146040655 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 130122211131 its reverse (131112221031), we get a palindrome (261234432162).

The spelling of 130122211131 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 146040641 438121923 1314365769 1606447051 3943097307 4819341153 11829291921 14458023459 43374070377 130122211131