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30577620313 is a prime number
BaseRepresentation
bin11100011110100100…
…010111010101011001
32220221000012001111001
4130132210113111121
51000110332322223
622014104305001
72131512325042
oct343644272531
986830161431
1030577620313
1111a712a6799
125b14472161
132b63c56376
1416a10478c9
15bde6c59ad
hex71e917559

30577620313 has 2 divisors, whose sum is σ = 30577620314. Its totient is φ = 30577620312.

The previous prime is 30577620251. The next prime is 30577620397. The reversal of 30577620313 is 31302677503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25794929664 + 4782690649 = 160608^2 + 69157^2 .

It is an emirp because it is prime and its reverse (31302677503) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30577620313 is a prime.

It is not a weakly prime, because it can be changed into another prime (30577620713) 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, 15288810156 + 15288810157.

It is an arithmetic number, because the mean of its divisors is an integer number (15288810157).

Almost surely, 230577620313 is an apocalyptic number.

It is an amenable number.

30577620313 is a deficient number, since it is larger than the sum of its proper divisors (1).

30577620313 is an equidigital number, since it uses as much as digits as its factorization.

30577620313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 37.

The spelling of 30577620313 in words is "thirty billion, five hundred seventy-seven million, six hundred twenty thousand, three hundred thirteen".