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131540131132399 = 1131385748185139
BaseRepresentation
bin11101111010001010010010…
…110010100011001111101111
3122020202010001220110011211101
4131322022102302203033233
5114220123142032214044
61143432411345103531
736464314034266153
oct3572122262431757
9566663056404741
10131540131132399
1138a04946864340
1212905437927ba7
135852247c75082
14246a80d5ad063
1510319d9bcdcd4
hex77a292ca33ef

131540131132399 has 8 divisors (see below), whose sum is σ = 148127303093760. Its totient is φ = 115724455541400.

The previous prime is 131540131132331. The next prime is 131540131132433. The reversal of 131540131132399 is 993231131045131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131540131132399 - 27 = 131540131132271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131540131130399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192874092229 + ... + 192874092910.

It is an arithmetic number, because the mean of its divisors is an integer number (18515912886720).

Almost surely, 2131540131132399 is an apocalyptic number.

131540131132399 is a deficient number, since it is larger than the sum of its proper divisors (16587171961361).

131540131132399 is a wasteful number, since it uses less digits than its factorization.

131540131132399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385748185181.

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 131540131132399 in words is "one hundred thirty-one trillion, five hundred forty billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred ninety-nine".

Divisors: 1 11 31 341 385748185139 4243230036529 11958193739309 131540131132399