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131753085 = 3523521733
BaseRepresentation
bin1111101101001…
…10010001111101
3100011220202020220
413312212101331
5232212044320
621023531553
73156611532
oct766462175
9304822226
10131753085
116840a052
1238159bb9
13213b0709
14136d8d89
15b877e40
hex7da647d

131753085 has 32 divisors (see below), whose sum is σ = 220693248. Its totient is φ = 66992640.

The previous prime is 131753081. The next prime is 131753113. The reversal of 131753085 is 580357131.

It is not a de Polignac number, because 131753085 - 22 = 131753081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131753081) 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 31 ways as a sum of consecutive naturals, for example, 179379 + ... + 180111.

It is an arithmetic number, because the mean of its divisors is an integer number (6896664).

Almost surely, 2131753085 is an apocalyptic number.

131753085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131753085 is a deficient number, since it is larger than the sum of its proper divisors (88940163).

131753085 is a wasteful number, since it uses less digits than its factorization.

131753085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 131753085 is about 11478.3746671730. The cubic root of 131753085 is about 508.8466632708.

The spelling of 131753085 in words is "one hundred thirty-one million, seven hundred fifty-three thousand, eighty-five".

Divisors: 1 3 5 15 23 69 115 345 521 733 1563 2199 2605 3665 7815 10995 11983 16859 35949 50577 59915 84295 179745 252885 381893 1145679 1909465 5728395 8783539 26350617 43917695 131753085