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131430645 = 32517092
BaseRepresentation
bin1111101010101…
…11100011110101
3100011022100221200
413311113203311
5232121240040
621013003113
73154066503
oct765274365
9304270850
10131430645
1168209875
1238023499
13212c9a18
1413653673
15b812630
hex7d578f5

131430645 has 18 divisors (see below), whose sum is σ = 227946498. Its totient is φ = 70055328.

The previous prime is 131430643. The next prime is 131430647. The reversal of 131430645 is 546034131.

131430645 is a `hidden beast` number, since 1 + 3 + 14 + 3 + 0 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (131430643) and next prime (131430647).

It can be written as a sum of positive squares in 3 ways, for example, as 30276 + 131400369 = 174^2 + 11463^2 .

It is not a de Polignac number, because 131430645 - 21 = 131430643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131430643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76051 + ... + 77759.

Almost surely, 2131430645 is an apocalyptic number.

131430645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131430645 is a deficient number, since it is larger than the sum of its proper divisors (96515853).

131430645 is an frugal number, since it uses more digits than its factorization.

131430645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 131430645 is about 11464.3205206414. The cubic root of 131430645 is about 508.4312231679.

Adding to 131430645 its reverse (546034131), we get a palindrome (677464776).

The spelling of 131430645 in words is "one hundred thirty-one million, four hundred thirty thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 1709 5127 8545 15381 25635 76905 2920681 8762043 14603405 26286129 43810215 131430645