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131007355 = 5172953147
BaseRepresentation
bin1111100111100…
…00001101111011
3100010111212022021
413303300031323
5232014213410
620555535311
73150354433
oct763601573
9303455267
10131007355
1167a4a846
1237a5a537
13211ac15b
14135832c3
15b77beda
hex7cf037b

131007355 has 16 divisors (see below), whose sum is σ = 172199520. Its totient is φ = 95237632.

The previous prime is 131007353. The next prime is 131007367. The reversal of 131007355 is 553700131.

It is a cyclic number.

It is not a de Polignac number, because 131007355 - 21 = 131007353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131007353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24109 + ... + 29038.

It is an arithmetic number, because the mean of its divisors is an integer number (10762470).

Almost surely, 2131007355 is an apocalyptic number.

131007355 is a deficient number, since it is larger than the sum of its proper divisors (41192165).

131007355 is a wasteful number, since it uses less digits than its factorization.

131007355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53198.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 131007355 is about 11445.8444424166. The cubic root of 131007355 is about 507.8848125282.

Adding to 131007355 its reverse (553700131), we get a palindrome (684707486).

The spelling of 131007355 in words is "one hundred thirty-one million, seven thousand, three hundred fifty-five".

Divisors: 1 5 17 29 85 145 493 2465 53147 265735 903499 1541263 4517495 7706315 26201471 131007355