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131381829 = 3214597981
BaseRepresentation
bin1111101010010…
…11101001000101
3100011012212222200
413311023221011
5232113204304
621011545113
73153504255
oct765135105
9304185880
10131381829
1168186127
1237bbb199
13212b0737
141363d965
15b802e39
hex7d4ba45

131381829 has 6 divisors (see below), whose sum is σ = 189773766. Its totient is φ = 87587880.

The previous prime is 131381807. The next prime is 131381867. The reversal of 131381829 is 928183131.

It can be written as a sum of positive squares in only one way, i.e., 106131204 + 25250625 = 10302^2 + 5025^2 .

It is not a de Polignac number, because 131381829 - 212 = 131377733 is a prime.

It is a super-2 number, since 2×1313818292 = 34522369982770482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131381793 and 131381802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131381869) 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, 7298982 + ... + 7298999.

It is an arithmetic number, because the mean of its divisors is an integer number (31628961).

Almost surely, 2131381829 is an apocalyptic number.

It is an amenable number.

131381829 is a deficient number, since it is larger than the sum of its proper divisors (58391937).

131381829 is a wasteful number, since it uses less digits than its factorization.

131381829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14597987 (or 14597984 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 131381829 is about 11462.1912826475. The cubic root of 131381829 is about 508.3682681596.

The spelling of 131381829 in words is "one hundred thirty-one million, three hundred eighty-one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 14597981 43793943 131381829