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131007045 = 3513671831
BaseRepresentation
bin1111100111100…
…00001001000101
3100010111211212210
413303300021011
5232014211140
620555534033
73150353511
oct763601105
9303454783
10131007045
1167a4a594
1237a5a319
13211abc80
1413583141
15b77bd80
hex7cf0245

131007045 has 16 divisors (see below), whose sum is σ = 225735552. Its totient is φ = 64495680.

The previous prime is 131007029. The next prime is 131007053. The reversal of 131007045 is 540700131.

It is not a de Polignac number, because 131007045 - 24 = 131007029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335721 + ... + 336110.

It is an arithmetic number, because the mean of its divisors is an integer number (14108472).

Almost surely, 2131007045 is an apocalyptic number.

131007045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131007045 is a deficient number, since it is larger than the sum of its proper divisors (94728507).

131007045 is a wasteful number, since it uses less digits than its factorization.

131007045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671852.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 131007045 is about 11445.8309003759. The cubic root of 131007045 is about 507.8844119288.

Adding to 131007045 its reverse (540700131), we get a palindrome (671707176).

The spelling of 131007045 in words is "one hundred thirty-one million, seven thousand, forty-five".

Divisors: 1 3 5 13 15 39 65 195 671831 2015493 3359155 8733803 10077465 26201409 43669015 131007045