Search a number
-
+
311103003303089 is a prime number
BaseRepresentation
bin100011010111100100101000…
…0000000000001110010110001
31111210112011020012111012201222
41012233021100000001302301
5311234102422321144324
63021354425142034425
7122346310303412534
oct10657112000016261
91453464205435658
10311103003303089
1190144051a205a8
122aa85a1a418a15
1310478b6c60840a
1456b7673c54a1b
1525e7782c4a55e
hex11af250001cb1

311103003303089 has 2 divisors, whose sum is σ = 311103003303090. Its totient is φ = 311103003303088.

The previous prime is 311103003303067. The next prime is 311103003303143. The reversal of 311103003303089 is 980303300301113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260751703204864 + 50351300098225 = 16147808^2 + 7095865^2 .

It is a cyclic number.

It is not a de Polignac number, because 311103003303089 - 216 = 311103003237553 is a prime.

It is not a weakly prime, because it can be changed into another prime (311103003303019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155551501651544 + 155551501651545.

It is an arithmetic number, because the mean of its divisors is an integer number (155551501651545).

Almost surely, 2311103003303089 is an apocalyptic number.

It is an amenable number.

311103003303089 is a deficient number, since it is larger than the sum of its proper divisors (1).

311103003303089 is an equidigital number, since it uses as much as digits as its factorization.

311103003303089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 311103003303089 in words is "three hundred eleven trillion, one hundred three billion, three million, three hundred three thousand, eighty-nine".