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1231312112201 is a prime number
BaseRepresentation
bin10001111010101111111…
…010111100101001001001
311100201020020222012220202
4101322233322330221021
5130133211400042301
62341353523501545
7154650030156623
oct21725772745111
94321206865822
101231312112201
11435218650476
1217a777b278b5
138c15c768b52
144384ad27c13
1522068ae866b
hex11eafebca49

1231312112201 has 2 divisors, whose sum is σ = 1231312112202. Its totient is φ = 1231312112200.

The previous prime is 1231312112161. The next prime is 1231312112309. The reversal of 1231312112201 is 1022112131321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1194045740176 + 37266372025 = 1092724^2 + 193045^2 .

It is an emirp because it is prime and its reverse (1022112131321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1231312112201 - 238 = 956434205257 is a prime.

It is a super-2 number, since 2×12313121122012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1231312132201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 615656056100 + 615656056101.

It is an arithmetic number, because the mean of its divisors is an integer number (615656056101).

Almost surely, 21231312112201 is an apocalyptic number.

It is an amenable number.

1231312112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1231312112201 is an equidigital number, since it uses as much as digits as its factorization.

1231312112201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1231312112201 its reverse (1022112131321), we get a palindrome (2253424243522).

The spelling of 1231312112201 in words is "one trillion, two hundred thirty-one billion, three hundred twelve million, one hundred twelve thousand, two hundred one".