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131330088 = 233210717047
BaseRepresentation
bin1111101001111…
…11000000101000
3100011010021000100
413310333000220
5232110030323
621010505400
73153200361
oct764770050
9304107010
10131330088
116815026a
1237b95260
1321293016
1413628b68
15b7e2943
hex7d3f028

131330088 has 48 divisors (see below), whose sum is σ = 359030880. Its totient is φ = 43365024.

The previous prime is 131330063. The next prime is 131330099. The reversal of 131330088 is 880033131.

It is a super-3 number, since 3×1313300883 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820 + ... + 16227.

It is an arithmetic number, because the mean of its divisors is an integer number (7479810).

Almost surely, 2131330088 is an apocalyptic number.

131330088 is a gapful number since it is divisible by the number (18) 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 131330088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179515440).

131330088 is an abundant number, since it is smaller than the sum of its proper divisors (227700792).

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

131330088 is a wasteful number, since it uses less digits than its factorization.

131330088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17166 (or 17159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131330088 is about 11459.9340312237. The cubic root of 131330088 is about 508.3015239315.

The spelling of 131330088 in words is "one hundred thirty-one million, three hundred thirty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 17047 34094 51141 68188 102282 136376 153423 204564 306846 409128 613692 1227384 1824029 3648058 5472087 7296116 10944174 14592232 16416261 21888348 32832522 43776696 65665044 131330088