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314104100249 is a prime number
BaseRepresentation
bin1001001001000100001…
…00000011010110011001
31010000202110021120000102
410210202010003112121
520121241122201444
6400144124545145
731456535541212
oct4444204032631
91100673246012
10314104100249
111112356375a5
1250a609b21b5
1323809b88664
14112ba396409
158285a0684e
hex4922103599

314104100249 has 2 divisors, whose sum is σ = 314104100250. Its totient is φ = 314104100248.

The previous prime is 314104100173. The next prime is 314104100257. The reversal of 314104100249 is 942001401413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194617734025 + 119486366224 = 441155^2 + 345668^2 .

It is a cyclic number.

It is not a de Polignac number, because 314104100249 - 28 = 314104099993 is a prime.

It is a super-2 number, since 2×3141041002492 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314104400249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157052050124 + 157052050125.

It is an arithmetic number, because the mean of its divisors is an integer number (157052050125).

Almost surely, 2314104100249 is an apocalyptic number.

It is an amenable number.

314104100249 is a deficient number, since it is larger than the sum of its proper divisors (1).

314104100249 is an equidigital number, since it uses as much as digits as its factorization.

314104100249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 314104100249 in words is "three hundred fourteen billion, one hundred four million, one hundred thousand, two hundred forty-nine".