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131142422220220 = 22519134998368129
BaseRepresentation
bin11101110100010111111001…
…011111011100110110111100
3122012100002111212222010111001
4131310113321133130312330
5114142114140042021340
61142525555210540044
736423504322310365
oct3564277137346674
9565302455863431
10131142422220220
1138871209516154
1212860343a37624
1358238a61ab4c8
1424554817d8b6c
1510264ae4e629a
hex7745f97dcdbc

131142422220220 has 48 divisors (see below), whose sum is σ = 277634210112000. Its totient is φ = 52032804986880.

The previous prime is 131142422220193. The next prime is 131142422220221. The reversal of 131142422220220 is 22022224241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142422220221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47850885 + ... + 50517244.

It is an arithmetic number, because the mean of its divisors is an integer number (5784046044000).

Almost surely, 2131142422220220 is an apocalyptic number.

131142422220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142422220220 is an abundant number, since it is smaller than the sum of its proper divisors (146491787891780).

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

131142422220220 is a wasteful number, since it uses less digits than its factorization.

131142422220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98368678 (or 98368676 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 131142422220220 its reverse (22022224241131), we get a palindrome (153164646461351).

The spelling of 131142422220220 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 191 349 382 698 764 955 1396 1745 1910 3490 3820 6980 66659 133318 266636 333295 666590 1333180 98368129 196736258 393472516 491840645 983681290 1967362580 18788312639 34330477021 37576625278 68660954042 75153250556 93941563195 137321908084 171652385105 187883126390 343304770210 375766252780 686609540420 6557121111011 13114242222022 26228484444044 32785605555055 65571211110110 131142422220220