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131332020 = 223541197271
BaseRepresentation
bin1111101001111…
…11011110110100
3100011010100122220
413310333132310
5232110111040
621010522340
73153206121
oct764773664
9304110586
10131332020
1168151766
1237b963b0
1321293b71
1413629748
15b7e32d0
hex7d3f7b4

131332020 has 96 divisors (see below), whose sum is σ = 380007936. Its totient is φ = 33868800.

The previous prime is 131331997. The next prime is 131332031. The reversal of 131332020 is 20233131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484485 + ... + 484755.

It is an arithmetic number, because the mean of its divisors is an integer number (3958416).

Almost surely, 2131332020 is an apocalyptic number.

131332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).

131332020 is an abundant number, since it is smaller than the sum of its proper divisors (248675916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131332020 is a wasteful number, since it uses less digits than its factorization.

131332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 131332020 is about 11460.0183245927. The cubic root of 131332020 is about 508.3040164645.

Adding to 131332020 its reverse (20233131), we get a palindrome (151565151).

It can be divided in two parts, 1313 and 32020, that added together give a palindrome (33333).

The spelling of 131332020 in words is "one hundred thirty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 197 205 246 271 394 410 492 542 591 615 788 813 820 985 1084 1182 1230 1355 1626 1970 2364 2460 2710 2955 3252 3940 4065 5420 5910 8077 8130 11111 11820 16154 16260 22222 24231 32308 33333 40385 44444 48462 53387 55555 66666 80770 96924 106774 111110 121155 133332 160161 161540 166665 213548 222220 242310 266935 320322 333330 484620 533870 640644 666660 800805 1067740 1601610 2188867 3203220 4377734 6566601 8755468 10944335 13133202 21888670 26266404 32833005 43777340 65666010 131332020