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131563564 = 221137211383
BaseRepresentation
bin1111101011110…
…00000000101100
3100011120010021121
413311320000230
5232140013224
621015510324
73155162146
oct765700054
9304503247
10131563564
116829a720
12380883a4
1321345382
1413689c96
15b83bbe4
hex7d7802c

131563564 has 48 divisors (see below), whose sum is σ = 259854336. Its totient is φ = 57758400.

The previous prime is 131563511. The next prime is 131563567. The reversal of 131563564 is 465365131.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (131563567) 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 15 ways as a sum of consecutive naturals, for example, 343317 + ... + 343699.

It is an arithmetic number, because the mean of its divisors is an integer number (5413632).

Almost surely, 2131563564 is an apocalyptic number.

It is an amenable number.

131563564 is a deficient number, since it is larger than the sum of its proper divisors (128290772).

131563564 is a wasteful number, since it uses less digits than its factorization.

131563564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 131563564 is about 11470.1161284444. The cubic root of 131563564 is about 508.6025616984.

The spelling of 131563564 in words is "one hundred thirty-one million, five hundred sixty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 37 44 74 148 211 383 407 422 766 814 844 1532 1628 2321 4213 4642 7807 8426 9284 14171 15614 16852 28342 31228 56684 80813 85877 155881 161626 171754 311762 323252 343508 623524 888943 1777886 2990081 3555772 5980162 11960324 32890891 65781782 131563564