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131120202112434 = 2343721875242261
BaseRepresentation
bin11101110100000011001101…
…000100011101110110110010
3122012020222011022220200220000
4131310003031010131312302
5114141233133220044214
61142511442252530430
736422056561436133
oct3564031504356662
9565228138820800
10131120202112434
1138862846883307
1212857b82480a16
135821774881a32
14245437471dc8a
151025b0d8da809
hex7740cd11ddb2

131120202112434 has 40 divisors (see below), whose sum is σ = 301747091762028. Its totient is φ = 42525470953440.

The previous prime is 131120202112411. The next prime is 131120202112499. The reversal of 131120202112434 is 434211202021131.

131120202112434 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 20 + 202 + 1 + 1 + 2 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129621298968225 + 1498903144209 = 11385135^2 + 1224297^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131120202112398 and 131120202112407.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10937615137 + ... + 10937627124.

Almost surely, 2131120202112434 is an apocalyptic number.

131120202112434 is an abundant number, since it is smaller than the sum of its proper divisors (170626889649594).

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

131120202112434 is a wasteful number, since it uses less digits than its factorization.

131120202112434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21875242312 (or 21875242303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131120202112434 its reverse (434211202021131), we get a palindrome (565331404133565).

The spelling of 131120202112434 in words is "one hundred thirty-one trillion, one hundred twenty billion, two hundred two million, one hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 21875242261 43750484522 65625726783 131251453566 196877180349 393754360698 590631541047 809383963657 1181263082094 1618767927314 1771894623141 2428151890971 3543789246282 4856303781942 7284455672913 14568911345826 21853367018739 43706734037478 65560101056217 131120202112434