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131523075 = 3352271719
BaseRepresentation
bin1111101011011…
…10001000000011
3100011111001202000
413311232020003
5232132214300
621014555043
73154633125
oct765561003
9304431660
10131523075
1168272262
1238068a83
132132cb08
1413679215
15b82ec00
hex7d6e203

131523075 has 48 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 69789600.

The previous prime is 131523053. The next prime is 131523079. The reversal of 131523075 is 570325131.

131523075 is a `hidden beast` number, since 131 + 523 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 131523075 - 28 = 131522819 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131523079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182566 + ... + 183284.

It is an arithmetic number, because the mean of its divisors is an integer number (5059200).

Almost surely, 2131523075 is an apocalyptic number.

131523075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131523075 is a deficient number, since it is larger than the sum of its proper divisors (111318525).

131523075 is a wasteful number, since it uses less digits than its factorization.

131523075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 131523075 is about 11468.3510148582. The cubic root of 131523075 is about 508.5503817955.

The spelling of 131523075 in words is "one hundred thirty-one million, five hundred twenty-three thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 271 675 719 813 1355 2157 2439 3595 4065 6471 6775 7317 10785 12195 17975 19413 20325 32355 36585 53925 60975 97065 161775 182925 194849 485325 584547 974245 1753641 2922735 4871225 5260923 8768205 14613675 26304615 43841025 131523075