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131152122129714 = 23788130831149679
BaseRepresentation
bin11101110100100000111011…
…101001101010110100110010
3122012101000112220001120211020
4131310200323221222310302
5114142244021231122324
61142534241513400310
736424266564215040
oct3564407351526462
9565330486046736
10131152122129714
11388753368a4784
12128621b0409096
13582479096891a
142455b21b63390
15102687ad78679
hex77483ba6ad32

131152122129714 has 64 divisors (see below), whose sum is σ = 300214154096640. Its totient is φ = 37417328213760.

The previous prime is 131152122129713. The next prime is 131152122129757. The reversal of 131152122129714 is 417921221251131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (131152122129713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113502327 + ... + 114652005.

It is an arithmetic number, because the mean of its divisors is an integer number (4690846157760).

Almost surely, 2131152122129714 is an apocalyptic number.

131152122129714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131152122129714 is an abundant number, since it is smaller than the sum of its proper divisors (169062031966926).

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

131152122129714 is a wasteful number, since it uses less digits than its factorization.

131152122129714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153655.

The product of its digits is 60480, while the sum is 42.

The spelling of 131152122129714 in words is "one hundred thirty-one trillion, one hundred fifty-two billion, one hundred twenty-two million, one hundred twenty-nine thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 881 1762 2643 3083 5286 6166 6167 9249 12334 18498 18501 21581 37002 43162 64743 129486 1149679 2299358 2716123 3449037 5432246 6898074 8047753 8148369 16095506 16296738 19012861 24143259 38025722 48286518 57038583 114077166 1012867199 2025734398 3038601597 3544460357 6077203194 7088920714 7090070393 10633381071 14180140786 21266762142 21270211179 24811222499 42540422358 49622444998 74433667497 148867334994 3122669574517 6245339149034 9368008723551 18736017447102 21858687021619 43717374043238 65576061064857 131152122129714