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131121830 = 25779131181
BaseRepresentation
bin1111101000011…
…00001010100110
3100010201200100002
413310030022212
5232031344310
621002221302
73151342250
oct764141246
9303650302
10131121830
1168018854
1237ab4832
132121c2a8
14135b2cd0
15b7a0da5
hex7d0c2a6

131121830 has 64 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 43804800.

The previous prime is 131121829. The next prime is 131121871. The reversal of 131121830 is 38121131.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 724340 + ... + 724520.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2131121830 is an apocalyptic number.

131121830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131121830 is an abundant number, since it is smaller than the sum of its proper divisors (145634650).

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

131121830 is a wasteful number, since it uses less digits than its factorization.

131121830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 131121830 is about 11450.8440736917. The cubic root of 131121830 is about 508.0327003771.

Adding to 131121830 its reverse (38121131), we get a palindrome (169242961).

The spelling of 131121830 in words is "one hundred thirty-one million, one hundred twenty-one thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 79 131 158 181 262 362 395 553 655 790 905 917 1106 1267 1310 1810 1834 2534 2765 4585 5530 6335 9170 10349 12670 14299 20698 23711 28598 47422 51745 71495 72443 100093 103490 118555 142990 144886 165977 200186 237110 331954 362215 500465 724430 829885 1000930 1659770 1873169 3746338 9365845 13112183 18731690 26224366 65560915 131121830