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131268772 = 22269121997
BaseRepresentation
bin1111101001100…
…00000010100100
3100011000010220101
413310300002210
5232101100042
621005313444
73152523535
oct764600244
9304003811
10131268772
1168109198
1237b65884
132127113b
141361068c
15b7ce6b7
hex7d300a4

131268772 has 12 divisors (see below), whose sum is σ = 230576220. Its totient is φ = 65389856.

The previous prime is 131268769. The next prime is 131268773. The reversal of 131268772 is 277862131.

It can be written as a sum of positive squares in 2 ways, for example, as 77334436 + 53934336 = 8794^2 + 7344^2 .

It is not an unprimeable number, because it can be changed into a prime (131268773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59923 + ... + 62074.

It is an arithmetic number, because the mean of its divisors is an integer number (19214685).

Almost surely, 2131268772 is an apocalyptic number.

It is an amenable number.

131268772 is a deficient number, since it is larger than the sum of its proper divisors (99307448).

131268772 is a wasteful number, since it uses less digits than its factorization.

131268772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122270 (or 122268 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 131268772 is about 11457.2584853446. The cubic root of 131268772 is about 508.2224055603. Note that the first 3 decimals are identical.

The spelling of 131268772 in words is "one hundred thirty-one million, two hundred sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 4 269 538 1076 121997 243994 487988 32817193 65634386 131268772