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131086098 = 2321113127401
BaseRepresentation
bin1111101000000…
…11011100010010
3100010122212022200
413310003130102
5232024223343
621001344030
73151133133
oct764033422
9303585280
10131086098
1167aa3a20
1237a98016
1321208c50
14135a3c8a
15b7954d3
hex7d03712

131086098 has 96 divisors (see below), whose sum is σ = 337139712. Its totient is φ = 36288000.

The previous prime is 131086063. The next prime is 131086117. The reversal of 131086098 is 890680131.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 326698 + ... + 327098.

It is an arithmetic number, because the mean of its divisors is an integer number (3511872).

Almost surely, 2131086098 is an apocalyptic number.

131086098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131086098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168569856).

131086098 is an abundant number, since it is smaller than the sum of its proper divisors (206053614).

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

131086098 is a wasteful number, since it uses less digits than its factorization.

131086098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 131086098 is about 11449.2837330551. The cubic root of 131086098 is about 507.9865482002.

The spelling of 131086098 in words is "one hundred thirty-one million, eighty-six thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 127 143 198 234 254 286 381 401 429 762 802 858 1143 1203 1287 1397 1651 2286 2406 2574 2794 3302 3609 4191 4411 4953 5213 7218 8382 8822 9906 10426 12573 13233 14859 15639 18161 25146 26466 29718 31278 36322 39699 46917 50927 54483 57343 79398 93834 101854 108966 114686 152781 163449 172029 305562 326898 344058 458343 516087 560197 662051 916686 1032174 1120394 1324102 1680591 1986153 3361182 3972306 5041773 5958459 7282561 10083546 11916918 14565122 21847683 43695366 65543049 131086098