Search a number
-
+
131142103341090 = 2354371403444703
BaseRepresentation
bin11101110100010111100110…
…011111000001100000100010
3122012100001200122221101112220
4131310113212133001200202
5114142113011423403330
61142525503420131510
736423463401010542
oct3564274637014042
9565301618841486
10131142103341090
1138871065517586
1212860275096b96
13582385510052a
14245545130d322
151026491508710
hex7745e67c1822

131142103341090 has 16 divisors (see below), whose sum is σ = 314741048018688. Its totient is φ = 34971227557616.

The previous prime is 131142103341089. The next prime is 131142103341101. The reversal of 131142103341090 is 90143301241131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2185701722322 + ... + 2185701722381.

It is an arithmetic number, because the mean of its divisors is an integer number (19671315501168).

Almost surely, 2131142103341090 is an apocalyptic number.

131142103341090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131142103341090 is an abundant number, since it is smaller than the sum of its proper divisors (183598944677598).

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

131142103341090 is a wasteful number, since it uses less digits than its factorization.

131142103341090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371403444713.

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 131142103341090 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, three hundred forty-one thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 4371403444703 8742806889406 13114210334109 21857017223515 26228420668218 43714034447030 65571051670545 131142103341090