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314264643101 is a prime number
BaseRepresentation
bin1001001001010111010…
…00011110011000011101
31010001011122100222101222
410210223220132120131
520122103222034401
6400212101543125
731463525251163
oct4445350363035
91101148328358
10314264643101
1111130821a842
1250aa6714aa5
1323834209226
14112d3827233
158294b69c1b
hex492ba1e61d

314264643101 has 2 divisors, whose sum is σ = 314264643102. Its totient is φ = 314264643100.

The previous prime is 314264643089. The next prime is 314264643113. The reversal of 314264643101 is 101346462413.

It is a balanced prime because it is at equal distance from previous prime (314264643089) and next prime (314264643113).

It can be written as a sum of positive squares in only one way, i.e., 253859784025 + 60404859076 = 503845^2 + 245774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314264643101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314264643131) 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, 157132321550 + 157132321551.

It is an arithmetic number, because the mean of its divisors is an integer number (157132321551).

Almost surely, 2314264643101 is an apocalyptic number.

It is an amenable number.

314264643101 is a deficient number, since it is larger than the sum of its proper divisors (1).

314264643101 is an equidigital number, since it uses as much as digits as its factorization.

314264643101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 314264643101 in words is "three hundred fourteen billion, two hundred sixty-four million, six hundred forty-three thousand, one hundred one".