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131281290 = 2335729923
BaseRepresentation
bin1111101001100…
…11000110001010
3100011000210002000
413310303012022
5232102000130
621005451430
73152605200
oct764630612
9304023060
10131281290
1168117638
1237b70b76
1321276a4a
1413615070
15b7d3260
hex7d3318a

131281290 has 96 divisors (see below), whose sum is σ = 407280960. Its totient is φ = 30004128.

The previous prime is 131281273. The next prime is 131281351. The reversal of 131281290 is 92182131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8269 + ... + 18191.

It is an arithmetic number, because the mean of its divisors is an integer number (4242510).

Almost surely, 2131281290 is an apocalyptic number.

131281290 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 131281290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203640480).

131281290 is an abundant number, since it is smaller than the sum of its proper divisors (275999670).

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

131281290 is a wasteful number, since it uses less digits than its factorization.

131281290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131281290 is about 11457.8047635662. The cubic root of 131281290 is about 508.2385600138.

The spelling of 131281290 in words is "one hundred thirty-one million, two hundred eighty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 9923 13230 19846 29769 49615 59538 69461 89307 99230 138922 148845 178614 208383 267921 297690 347305 416766 446535 486227 535842 625149 694610 893070 972454 1041915 1250298 1339605 1458681 1875447 2083830 2431135 2679210 2917362 3125745 3750894 4376043 4862270 6251490 7293405 8752086 9377235 13128129 14586810 18754470 21880215 26256258 43760430 65640645 131281290