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131012224202093 = 1323581427372181
BaseRepresentation
bin11101110010011110101001…
…000101011011010101101101
3122011212122110011102112001112
4131302132221011123111231
5114133001013343431333
61142350103535321405
736411215022361613
oct3562365105332555
9564778404375045
10131012224202093
1138820a77098083
121283b068980265
1358145272947b0
14244d04dd056b3
151022dde0ba948
hex7727a915b56d

131012224202093 has 8 divisors (see below), whose sum is σ = 141096071142936. Its totient is φ = 120929232052800.

The previous prime is 131012224202089. The next prime is 131012224202099. The reversal of 131012224202093 is 390202422210131.

It can be written as a sum of positive squares in 4 ways, for example, as 1850203889284 + 129162020312809 = 1360222^2 + 11364947^2 .

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 131012224202093 - 22 = 131012224202089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012224202099) 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, 213379538 + ... + 213992643.

It is an arithmetic number, because the mean of its divisors is an integer number (17637008892867).

Almost surely, 2131012224202093 is an apocalyptic number.

131012224202093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131012224202093 is a deficient number, since it is larger than the sum of its proper divisors (10083846940843).

131012224202093 is a wasteful number, since it uses less digits than its factorization.

131012224202093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427395775.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 131012224202093 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred two thousand, ninety-three".

Divisors: 1 13 23581 306553 427372181 5555838353 10077863400161 131012224202093