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131066130 = 23513834049
BaseRepresentation
bin1111100111111…
…10100100010010
3100010121211221010
413303332210102
5232023104010
621001111350
73151020666
oct763764422
9303554833
10131066130
1167a8aa18
1237a88556
13211ccb30
141359a8a6
15b78e620
hex7cfe912

131066130 has 64 divisors (see below), whose sum is σ = 342921600. Its totient is φ = 31865856.

The previous prime is 131066129. The next prime is 131066147. The reversal of 131066130 is 31660131.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131066097 and 131066106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30346 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2131066130 is an apocalyptic number.

131066130 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 131066130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

131066130 is an abundant number, since it is smaller than the sum of its proper divisors (211855470).

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

131066130 is a wasteful number, since it uses less digits than its factorization.

131066130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131066130 is about 11448.4116802288. The cubic root of 131066130 is about 507.9607534729.

The spelling of 131066130 in words is "one hundred thirty-one million, sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 83 130 166 195 249 390 415 498 830 1079 1245 2158 2490 3237 4049 5395 6474 8098 10790 12147 16185 20245 24294 32370 40490 52637 60735 105274 121470 157911 263185 315822 336067 526370 672134 789555 1008201 1579110 1680335 2016402 3360670 4368871 5041005 8737742 10082010 13106613 21844355 26213226 43688710 65533065 131066130