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131101232032314 = 2341942592992863
BaseRepresentation
bin11101110011110001100010…
…010111010110101000111010
3122012012011012021100210010000
4131303301202113112220322
5114140430310400013224
61142455024034133430
736420515513426115
oct3563614227265072
9565164167323100
10131101232032314
11388557a1753345
1212854369421276
13581ca4068b95b
14245349513357c
15102539d2b10c9
hex773c625d6a3a

131101232032314 has 40 divisors (see below), whose sum is σ = 309225128192640. Its totient is φ = 41400389061864.

The previous prime is 131101232032301. The next prime is 131101232032327. The reversal of 131101232032314 is 413230232101131.

131101232032314 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 1 + 2 + 320 + 323 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (131101232032301) and next prime (131101232032327).

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

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, 21296493354 + ... + 21296499509.

It is an arithmetic number, because the mean of its divisors is an integer number (7730628204816).

Almost surely, 2131101232032314 is an apocalyptic number.

131101232032314 is an abundant number, since it is smaller than the sum of its proper divisors (178123896160326).

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

131101232032314 is a wasteful number, since it uses less digits than its factorization.

131101232032314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42592992896 (or 42592992887 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131101232032314 its reverse (413230232101131), we get a palindrome (544331464133445).

The spelling of 131101232032314 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred thirty-two million, thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 42592992863 85185985726 127778978589 255557957178 383336935767 766673871534 809266864397 1150010807301 1618533728794 2300021614602 2427800593191 3450032421903 4855601186382 6900064843806 7283401779573 14566803559146 21850205338719 43700410677438 65550616016157 131101232032314