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131074845 = 35111783563
BaseRepresentation
bin1111101000000…
…00101100011101
3100010122021212220
413310000230131
5232023343340
621001215553
73151055256
oct764005435
9303567786
10131074845
1167a96520
1237a915b9
1321203aa5
141359db2d
15b791ed0
hex7d00b1d

131074845 has 64 divisors (see below), whose sum is σ = 245597184. Its totient is φ = 58987520.

The previous prime is 131074843. The next prime is 131074873. The reversal of 131074845 is 548470131.

It is not a de Polignac number, because 131074845 - 21 = 131074843 is a prime.

It is a super-2 number, since 2×1310748452 = 34361229983548050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131074843) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 232534 + ... + 233096.

It is an arithmetic number, because the mean of its divisors is an integer number (3837456).

Almost surely, 2131074845 is an apocalyptic number.

131074845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131074845 is a deficient number, since it is larger than the sum of its proper divisors (114522339).

131074845 is a wasteful number, since it uses less digits than its factorization.

131074845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 131074845 is about 11448.7922943863. The cubic root of 131074845 is about 507.9720118604.

The spelling of 131074845 in words is "one hundred thirty-one million, seventy-four thousand, eight hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 83 85 165 187 249 255 415 561 563 913 935 1245 1411 1689 2739 2805 2815 4233 4565 6193 7055 8445 9571 13695 15521 18579 21165 28713 30965 46563 46729 47855 77605 92895 105281 140187 143565 232815 233645 315843 514019 526405 700935 794393 1542057 1579215 2383179 2570095 3971965 7710285 8738323 11915895 26214969 43691615 131074845