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131131330 = 251122937101
BaseRepresentation
bin1111101000011…
…10011111000010
3100010202011100221
413310032133002
5232032200310
621002333254
73151412041
oct764163702
9303664327
10131131330
1168024a00
1237aba22a
1321223705
14135b6558
15b7a3ada
hex7d0e7c2

131131330 has 96 divisors (see below), whose sum is σ = 278374320. Its totient is φ = 44352000.

The previous prime is 131131321. The next prime is 131131337. The reversal of 131131330 is 33131131.

It can be written as a sum of positive squares in 8 ways, for example, as 117874449 + 13256881 = 10857^2 + 3641^2 .

It is not an unprimeable number, because it can be changed into a prime (131131337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298280 + ... + 1298380.

Almost surely, 2131131330 is an apocalyptic number.

131131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131131330 is an abundant number, since it is smaller than the sum of its proper divisors (147242990).

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

131131330 is a wasteful number, since it uses less digits than its factorization.

131131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 131131330 is about 11451.2588827604. The cubic root of 131131330 is about 508.0449693590.

Adding to 131131330 its reverse (33131131), we get a palindrome (164262461).

The spelling of 131131330 in words is "one hundred thirty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 29 37 55 58 74 101 110 121 145 185 202 242 290 319 370 407 505 605 638 814 1010 1073 1111 1210 1595 2035 2146 2222 2929 3190 3509 3737 4070 4477 5365 5555 5858 7018 7474 8954 10730 11110 11803 12221 14645 17545 18685 22385 23606 24442 29290 32219 35090 37370 41107 44770 59015 61105 64438 82214 108373 118030 122210 129833 161095 205535 216746 259666 322190 354409 411070 452177 541865 649165 708818 904354 1083730 1192103 1298330 1772045 2260885 2384206 3544090 4521770 5960515 11921030 13113133 26226266 65565665 131131330