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335310122993 is a prime number
BaseRepresentation
bin1001110000100100000…
…10100110111111110001
31012001111100011010110012
410320102002212333301
520443203342413433
6414012255344305
733140204006336
oct4702202467761
91161440133405
10335310122993
1111a22790632a
1254b9a822095
1325809385c01
141232c8d898d
158ac759c848
hex4e120a6ff1

335310122993 has 2 divisors, whose sum is σ = 335310122994. Its totient is φ = 335310122992.

The previous prime is 335310122989. The next prime is 335310123007. The reversal of 335310122993 is 399221013533.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335232894049 + 77228944 = 578993^2 + 8788^2 .

It is a cyclic number.

It is not a de Polignac number, because 335310122993 - 22 = 335310122989 is a prime.

It is a super-2 number, since 2×3353101229932 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 335310122993.

It is not a weakly prime, because it can be changed into another prime (335310122963) 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, 167655061496 + 167655061497.

It is an arithmetic number, because the mean of its divisors is an integer number (167655061497).

Almost surely, 2335310122993 is an apocalyptic number.

It is an amenable number.

335310122993 is a deficient number, since it is larger than the sum of its proper divisors (1).

335310122993 is an equidigital number, since it uses as much as digits as its factorization.

335310122993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131220, while the sum is 41.

The spelling of 335310122993 in words is "three hundred thirty-five billion, three hundred ten million, one hundred twenty-two thousand, nine hundred ninety-three".