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310001311027 is a prime number
BaseRepresentation
bin1001000001011011000…
…01001001110100110011
31002122011112011021021001
410200231201021310303
520034340313423102
6354225043542431
731253056444462
oct4405541116463
91078145137231
10310001311027
1110a51a727301
12500b698aa17
1323304b87a25
141100b5269d9
1580e572a487
hex482d849d33

310001311027 has 2 divisors, whose sum is σ = 310001311028. Its totient is φ = 310001311026.

The previous prime is 310001310979. The next prime is 310001311093. The reversal of 310001311027 is 720113100013.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 310001311027 - 227 = 309867093299 is a prime.

It is a super-2 number, since 2×3100013110272 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310001310995 and 310001311013.

It is not a weakly prime, because it can be changed into another prime (310001317027) 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, 155000655513 + 155000655514.

It is an arithmetic number, because the mean of its divisors is an integer number (155000655514).

Almost surely, 2310001311027 is an apocalyptic number.

310001311027 is a deficient number, since it is larger than the sum of its proper divisors (1).

310001311027 is an equidigital number, since it uses as much as digits as its factorization.

310001311027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The spelling of 310001311027 in words is "three hundred ten billion, one million, three hundred eleven thousand, twenty-seven".