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314201102441 is a prime number
BaseRepresentation
bin1001001001001111101…
…10000101100001101001
31010001000012210210000012
410210213312011201221
520121440440234231
6400201512021305
731462124206352
oct4444766054151
91101005723005
10314201102441
111112853707a6
1250a89391835
1323823cbc7c5
14112c9206d29
15828e2b7e2b
hex4927d85869

314201102441 has 2 divisors, whose sum is σ = 314201102442. Its totient is φ = 314201102440.

The previous prime is 314201102429. The next prime is 314201102497. The reversal of 314201102441 is 144201102413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312280910041 + 1920192400 = 558821^2 + 43820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314201102441 is a prime.

It is not a weakly prime, because it can be changed into another prime (314201102041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157100551220 + 157100551221.

It is an arithmetic number, because the mean of its divisors is an integer number (157100551221).

Almost surely, 2314201102441 is an apocalyptic number.

It is an amenable number.

314201102441 is a deficient number, since it is larger than the sum of its proper divisors (1).

314201102441 is an equidigital number, since it uses as much as digits as its factorization.

314201102441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 314201102441 its reverse (144201102413), we get a palindrome (458402204854).

The spelling of 314201102441 in words is "three hundred fourteen billion, two hundred one million, one hundred two thousand, four hundred forty-one".