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131142204212140 = 22511730438160959
BaseRepresentation
bin11101110100010111101100…
…011111110100001110101100
3122012100001221200202011121201
4131310113230133310032230
5114142113213234242030
61142525521422135244
736423466034261332
oct3564275437641654
9565301850664551
10131142204212140
1138871107453490
12128602a2a21524
13582386cc8a644
142455460889b52
15102649a2d12ca
hex7745ec7f43ac

131142204212140 has 48 divisors (see below), whose sum is σ = 300439017768960. Its totient is φ = 47687415538880.

The previous prime is 131142204212113. The next prime is 131142204212179. The reversal of 131142204212140 is 41212402241131.

131142204212140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131142204212099 and 131142204212108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11988981 + ... + 20149939.

It is an arithmetic number, because the mean of its divisors is an integer number (6259146203520).

Almost surely, 2131142204212140 is an apocalyptic number.

131142204212140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142204212140 is an abundant number, since it is smaller than the sum of its proper divisors (169296813556820).

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

131142204212140 is a wasteful number, since it uses less digits than its factorization.

131142204212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234022 (or 8234020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 131142204212140 its reverse (41212402241131), we get a palindrome (172354606453271).

The spelling of 131142204212140 in words is "one hundred thirty-one trillion, one hundred forty-two billion, two hundred four million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 73043 146086 292172 365215 730430 803473 1460860 1606946 3213892 4017365 8034730 8160959 16069460 16321918 32643836 40804795 81609590 89770549 163219180 179541098 359082196 448852745 897705490 1795410980 596100928237 1192201856474 2384403712948 2980504641185 5961009282370 6557110210607 11922018564740 13114220421214 26228440842428 32785551053035 65571102106070 131142204212140