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130961164221 = 3214551240469
BaseRepresentation
bin111100111110111100…
…1001100011110111101
3110112000220112110001200
41321331321030132331
54121202024223341
6140055052130113
712314224346256
oct1717571143675
9415026473050
10130961164221
11505a4188028
122146a766939
13c471065064
1464a4dc7b2d
153617422db6
hex1e7de4c7bd

130961164221 has 6 divisors (see below), whose sum is σ = 189166126110. Its totient is φ = 87307442808.

The previous prime is 130961164219. The next prime is 130961164267. The reversal of 130961164221 is 122461169031.

It is a happy number.

130961164221 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 6 + 1 + 1 + 642 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117508412025 + 13452752196 = 342795^2 + 115986^2 .

It is not a de Polignac number, because 130961164221 - 21 = 130961164219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130961164121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7275620226 + ... + 7275620243.

It is an arithmetic number, because the mean of its divisors is an integer number (31527687685).

Almost surely, 2130961164221 is an apocalyptic number.

It is an amenable number.

130961164221 is a deficient number, since it is larger than the sum of its proper divisors (58204961889).

130961164221 is a wasteful number, since it uses less digits than its factorization.

130961164221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551240475 (or 14551240472 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 130961164221 in words is "one hundred thirty billion, nine hundred sixty-one million, one hundred sixty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 14551240469 43653721407 130961164221