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312021210100997 is a prime number
BaseRepresentation
bin100011011110010000001100…
…1011000111111010100000101
31111220202221021121120110101202
41012330200121120333110011
5311344123414241212442
63023340322020232245
7122502534313414535
oct10674403130772405
91456687247513352
10312021210100997
11904684a77a9111
122abb3973b3b685
13105146210bc307
145709c9b2d94c5
1526115c387dc32
hex11bc81963f505

312021210100997 has 2 divisors, whose sum is σ = 312021210100998. Its totient is φ = 312021210100996.

The previous prime is 312021210100981. The next prime is 312021210101023. The reversal of 312021210100997 is 799001012120213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311331697424836 + 689512676161 = 17644594^2 + 830369^2 .

It is a cyclic number.

It is not a de Polignac number, because 312021210100997 - 24 = 312021210100981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312021210100997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312021210100967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156010605050498 + 156010605050499.

It is an arithmetic number, because the mean of its divisors is an integer number (156010605050499).

Almost surely, 2312021210100997 is an apocalyptic number.

It is an amenable number.

312021210100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

312021210100997 is an equidigital number, since it uses as much as digits as its factorization.

312021210100997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 38.

The spelling of 312021210100997 in words is "three hundred twelve trillion, twenty-one billion, two hundred ten million, one hundred thousand, nine hundred ninety-seven".