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131427330 = 23537167709
BaseRepresentation
bin1111101010101…
…10110000000010
3100011022012101220
413311112300002
5232121133310
621012535510
73154054026
oct765266002
9304265356
10131427330
1168207331
1238021596
13212c8368
1413652386
15b811670
hex7d56c02

131427330 has 64 divisors (see below), whose sum is σ = 326350080. Its totient is φ = 33848064.

The previous prime is 131427301. The next prime is 131427341. The reversal of 131427330 is 33724131.

It is a self number, because there is not a number n which added to its sum of digits gives 131427330.

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, 185016 + ... + 185724.

It is an arithmetic number, because the mean of its divisors is an integer number (5099220).

Almost surely, 2131427330 is an apocalyptic number.

131427330 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 131427330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163175040).

131427330 is an abundant number, since it is smaller than the sum of its proper divisors (194922750).

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

131427330 is a wasteful number, since it uses less digits than its factorization.

131427330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 131427330 is about 11464.1759407295. The cubic root of 131427330 is about 508.4269485086.

The spelling of 131427330 in words is "one hundred thirty-one million, four hundred twenty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 167 185 222 334 370 501 555 709 835 1002 1110 1418 1670 2127 2505 3545 4254 5010 6179 7090 10635 12358 18537 21270 26233 30895 37074 52466 61790 78699 92685 118403 131165 157398 185370 236806 262330 355209 393495 592015 710418 786990 1184030 1776045 3552090 4380911 8761822 13142733 21904555 26285466 43809110 65713665 131427330