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314013046901 is a prime number
BaseRepresentation
bin1001001000111001010…
…00101101100001110101
31010000112002221120022012
410210130220231201311
520121044320000101
6400131113214005
731454351600441
oct4443450554165
91100462846265
10314013046901
111111991a68a4
1250a36401305
13237c4058138
14112ac253821
15827ca1cbbb
hex491ca2d875

314013046901 has 2 divisors, whose sum is σ = 314013046902. Its totient is φ = 314013046900.

The previous prime is 314013046889. The next prime is 314013046913. The reversal of 314013046901 is 109640310413.

It is a balanced prime because it is at equal distance from previous prime (314013046889) and next prime (314013046913).

It can be written as a sum of positive squares in only one way, i.e., 183710818225 + 130302228676 = 428615^2 + 360974^2 .

It is a cyclic number.

It is not a de Polignac number, because 314013046901 - 210 = 314013045877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314013046981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157006523450 + 157006523451.

It is an arithmetic number, because the mean of its divisors is an integer number (157006523451).

Almost surely, 2314013046901 is an apocalyptic number.

It is an amenable number.

314013046901 is a deficient number, since it is larger than the sum of its proper divisors (1).

314013046901 is an equidigital number, since it uses as much as digits as its factorization.

314013046901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 314013046901 in words is "three hundred fourteen billion, thirteen million, forty-six thousand, nine hundred one".