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311003011021369 is a prime number
BaseRepresentation
bin100011010110110110000011…
…1111111101111101000111001
31111210011121010120100222222111
41012231230013333233220321
5311230433131310140434
63021240451052252321
7122336140352141362
oct10655540777575071
91453147116328874
10311003011021369
11901056aa987347
122aa6a5731710a1
131046c5c559bb04
1456b28a9c42b69
1525e4d7e537964
hex11adb07fefa39

311003011021369 has 2 divisors, whose sum is σ = 311003011021370. Its totient is φ = 311003011021368.

The previous prime is 311003011021289. The next prime is 311003011021457. The reversal of 311003011021369 is 963120110300113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 268620463226025 + 42382547795344 = 16389645^2 + 6510188^2 .

It is a cyclic number.

It is not a de Polignac number, because 311003011021369 - 235 = 310968651283001 is a prime.

It is a super-2 number, since 2×3110030110213692 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311003011021369.

It is not a weakly prime, because it can be changed into another prime (311003011001369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155501505510684 + 155501505510685.

It is an arithmetic number, because the mean of its divisors is an integer number (155501505510685).

Almost surely, 2311003011021369 is an apocalyptic number.

It is an amenable number.

311003011021369 is a deficient number, since it is larger than the sum of its proper divisors (1).

311003011021369 is an equidigital number, since it uses as much as digits as its factorization.

311003011021369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 311003011021369 in words is "three hundred eleven trillion, three billion, eleven million, twenty-one thousand, three hundred sixty-nine".