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211020310993 is a prime number
BaseRepresentation
bin1100010010000111001…
…0100110100111010001
3202011200100221111011211
43010201302212213101
511424132144422433
6240535201340121
721150165022402
oct3044162464721
9664610844154
10211020310993
1181547511a38
1234a92337641
1316b8c50865b
14a2db95b9a9
155750bc68cd
hex3121ca69d1

211020310993 has 2 divisors, whose sum is σ = 211020310994. Its totient is φ = 211020310992.

The previous prime is 211020310933. The next prime is 211020311023. The reversal of 211020310993 is 399013020112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115578241024 + 95442069969 = 339968^2 + 308937^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211020310993 is a prime.

It is not a weakly prime, because it can be changed into another prime (211020310933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105510155496 + 105510155497.

It is an arithmetic number, because the mean of its divisors is an integer number (105510155497).

Almost surely, 2211020310993 is an apocalyptic number.

It is an amenable number.

211020310993 is a deficient number, since it is larger than the sum of its proper divisors (1).

211020310993 is an equidigital number, since it uses as much as digits as its factorization.

211020310993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 211020310993 in words is "two hundred eleven billion, twenty million, three hundred ten thousand, nine hundred ninety-three".