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131020240321233 = 3353170057538399
BaseRepresentation
bin11101110010100110000110…
…111000011111101011010001
3122011220102010211011120021000
4131302212012320133223101
5114133113423010234413
61142353511212452213
736411620460305424
oct3562460670375321
9564812124146230
10131020240321233
113882440aa7502a
121284072547a069
135815203c5c763
14244d5b07a79bb
15102320cbec073
hex772986e1fad1

131020240321233 has 32 divisors (see below), whose sum is σ = 197767930752000. Its totient is φ = 85698110429568.

The previous prime is 131020240321219. The next prime is 131020240321253. The reversal of 131020240321233 is 332123042020131.

131020240321233 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 0 + 2 + 403 + 21 + 233 = 666.

It is not a de Polignac number, because 131020240321233 - 218 = 131020240059089 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131020240321197 and 131020240321206.

It is not an unprimeable number, because it can be changed into a prime (131020240321253) 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, 243082368 + ... + 243620766.

It is an arithmetic number, because the mean of its divisors is an integer number (6180247836000).

Almost surely, 2131020240321233 is an apocalyptic number.

It is an amenable number.

131020240321233 is a deficient number, since it is larger than the sum of its proper divisors (66747690430767).

131020240321233 is a wasteful number, since it uses less digits than its factorization.

131020240321233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708518 (or 708512 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131020240321233 its reverse (332123042020131), we get a palindrome (463143282341364).

The spelling of 131020240321233 in words is "one hundred thirty-one trillion, twenty billion, two hundred forty million, three hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 27 53 159 477 1431 170057 510171 538399 1530513 1615197 4591539 4845591 9013021 14536773 27039063 28535147 81117189 85605441 243351567 256816323 770448969 91558518743 274675556229 824026668687 2472080006061 4852601493379 14557804480137 43673413440411 131020240321233