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10311201011329 is a prime number
BaseRepresentation
bin1001011000001100001101…
…1110010011011010000001
31100111202000022211121111221
42112003003132103122001
52322414314424330304
633532522250435041
72112650113321441
oct226030336233201
940452008747457
1010311201011329
113315a57181979
1211a6468432a81
1359a45a73118a
142790c9b08121
1512d340b4a054
hex960c3793681

10311201011329 has 2 divisors, whose sum is σ = 10311201011330. Its totient is φ = 10311201011328.

The previous prime is 10311201011323. The next prime is 10311201011359. The reversal of 10311201011329 is 92311010211301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10290930370704 + 20270640625 = 3207948^2 + 142375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311201011329 - 25 = 10311201011297 is a prime.

It is not a weakly prime, because it can be changed into another prime (10311201011323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155600505664 + 5155600505665.

It is an arithmetic number, because the mean of its divisors is an integer number (5155600505665).

Almost surely, 210311201011329 is an apocalyptic number.

It is an amenable number.

10311201011329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311201011329 is an equidigital number, since it uses as much as digits as its factorization.

10311201011329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 10311201011329 in words is "ten trillion, three hundred eleven billion, two hundred one million, eleven thousand, three hundred twenty-nine".