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131253345 = 3351757191
BaseRepresentation
bin1111101001011…
…00010001100001
3100010222100202000
413310230101201
5232100101340
621005114213
73152430546
oct764542141
9303870660
10131253345
11680a8643
1237b58969
1321267102
1413608bcd
15b7c9d30
hex7d2c461

131253345 has 32 divisors (see below), whose sum is σ = 247069440. Its totient is φ = 65882880.

The previous prime is 131253337. The next prime is 131253371. The reversal of 131253345 is 543352131.

131253345 is a `hidden beast` number, since 1 + 312 + 5 + 3 + 345 = 666.

It is not a de Polignac number, because 131253345 - 23 = 131253337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 26301 + ... + 30890.

It is an arithmetic number, because the mean of its divisors is an integer number (7720920).

Almost surely, 2131253345 is an apocalyptic number.

131253345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131253345 is a deficient number, since it is larger than the sum of its proper divisors (115816095).

131253345 is a wasteful number, since it uses less digits than its factorization.

131253345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57222 (or 57216 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 131253345 is about 11456.5852242280. The cubic root of 131253345 is about 508.2024956353.

The spelling of 131253345 in words is "one hundred thirty-one million, two hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 57191 171573 285955 514719 857865 972247 1544157 2573595 2916741 4861235 7720785 8750223 14583705 26250669 43751115 131253345