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131022201212123 = 1317956305200349
BaseRepresentation
bin11101110010100111111011…
…110000101100110011011011
3122011220121012110221010212112
4131302213323300230303123
5114133131432002241443
61142354433541302535
736412020200512454
oct3562477360546333
9564817173833775
10131022201212123
113882522692a411
1212840b92104a4b
135815457292920
14244d718da212b
1510232c4e36b18
hex7729fbc2ccdb

131022201212123 has 8 divisors (see below), whose sum is σ = 141889104882000. Its totient is φ = 120267907943328.

The previous prime is 131022201212113. The next prime is 131022201212131. The reversal of 131022201212123 is 321212102220131.

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 131022201212123 - 246 = 60653457034459 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131022201212113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28152597848 + ... + 28152602501.

It is an arithmetic number, because the mean of its divisors is an integer number (17736138110250).

Almost surely, 2131022201212123 is an apocalyptic number.

131022201212123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131022201212123 is a deficient number, since it is larger than the sum of its proper divisors (10866903669877).

131022201212123 is a wasteful number, since it uses less digits than its factorization.

131022201212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56305200541.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131022201212123 its reverse (321212102220131), we get a palindrome (452234303432254).

The spelling of 131022201212123 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred one million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 13 179 2327 56305200349 731967604537 10078630862471 131022201212123