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131881050 = 23252725981
BaseRepresentation
bin1111101110001…
…01100001011010
3100012011020210100
413313011201122
5232230143200
621030400230
73160653600
oct767054132
9305136710
10131881050
1168497204
1238200076
1321426a32
141372d870
15b8a0d00
hex7dc585a

131881050 has 108 divisors (see below), whose sum is σ = 412237566. Its totient is φ = 30139200.

The previous prime is 131881049. The next prime is 131881063. The reversal of 131881050 is 50188131.

It can be written as a sum of positive squares in 3 ways, for example, as 58110129 + 73770921 = 7623^2 + 8589^2 .

It is a super-2 number, since 2×1318810502 = 34785222698205000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19060 + ... + 25040.

Almost surely, 2131881050 is an apocalyptic number.

131881050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131881050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206118783).

131881050 is an abundant number, since it is smaller than the sum of its proper divisors (280356516).

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

131881050 is a wasteful number, since it uses less digits than its factorization.

131881050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 131881050 is about 11483.9474920430. The cubic root of 131881050 is about 509.0113488360.

The spelling of 131881050 in words is "one hundred thirty-one million, eight hundred eighty-one thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3150 3675 4410 5981 7350 11025 11962 17943 22050 29905 35886 41867 53829 59810 83734 89715 107658 125601 149525 179430 209335 251202 269145 293069 299050 376803 418670 448575 538290 586138 628005 753606 879207 897150 1046675 1256010 1345725 1465345 1758414 1884015 2093350 2637621 2691450 2930690 3140025 3768030 4396035 5275242 6280050 7326725 8792070 9420075 13188105 14653450 18840150 21980175 26376210 43960350 65940525 131881050