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10301120993 is a prime number
BaseRepresentation
bin10011001011111111…
…01010000111100001
3222120220101011110202
421211333222013201
5132044041332433
64422100434545
7513162040502
oct114577520741
928526334422
1010301120993
114406794739
121bb59a8a55
13c821bb587
146da148ba9
1540453dee8
hex265fea1e1

10301120993 has 2 divisors, whose sum is σ = 10301120994. Its totient is φ = 10301120992.

The previous prime is 10301120983. The next prime is 10301121011. The reversal of 10301120993 is 39902110301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7889525329 + 2411595664 = 88823^2 + 49108^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301120993 - 212 = 10301116897 is a prime.

It is a super-2 number, since 2×103011209932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301120933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150560496 + 5150560497.

It is an arithmetic number, because the mean of its divisors is an integer number (5150560497).

Almost surely, 210301120993 is an apocalyptic number.

It is an amenable number.

10301120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301120993 is an equidigital number, since it uses as much as digits as its factorization.

10301120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 10301120993 in words is "ten billion, three hundred one million, one hundred twenty thousand, nine hundred ninety-three".