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314104443013 is a prime number
BaseRepresentation
bin1001001001000100001…
…01010111000010000101
31010000202110220222012101
410210202011113002011
520121241214134023
6400144140152101
731456541466424
oct4444205270205
91100673828171
10314104443013
11111235851079
1250a60b38631
1323809c7868a
14112ba4452bb
158285a731ad
hex4922157085

314104443013 has 2 divisors, whose sum is σ = 314104443014. Its totient is φ = 314104443012.

The previous prime is 314104442987. The next prime is 314104443019. The reversal of 314104443013 is 310344401413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304811097409 + 9293345604 = 552097^2 + 96402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314104443013 is a prime.

It is a super-2 number, since 2×3141044430132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314104443019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157052221506 + 157052221507.

It is an arithmetic number, because the mean of its divisors is an integer number (157052221507).

Almost surely, 2314104443013 is an apocalyptic number.

It is an amenable number.

314104443013 is a deficient number, since it is larger than the sum of its proper divisors (1).

314104443013 is an equidigital number, since it uses as much as digits as its factorization.

314104443013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314104443013 its reverse (310344401413), we get a palindrome (624448844426).

The spelling of 314104443013 in words is "three hundred fourteen billion, one hundred four million, four hundred forty-three thousand, thirteen".