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30185747201 is a prime number
BaseRepresentation
bin11100000111001101…
…011111001100000001
32212220200210211122002
4130013031133030001
5443310022402301
621511145153345
72116013421611
oct340715371401
985820724562
1030185747201
1111890081715
125a2518b855
132b009cbb9c
141664d9aa41
15bba0ba16b
hex70735f301

30185747201 has 2 divisors, whose sum is σ = 30185747202. Its totient is φ = 30185747200.

The previous prime is 30185747173. The next prime is 30185747233. The reversal of 30185747201 is 10274758103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18353746576 + 11832000625 = 135476^2 + 108775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30185747201 is a prime.

It is a super-2 number, since 2×301857472012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (30185747401) 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, 15092873600 + 15092873601.

It is an arithmetic number, because the mean of its divisors is an integer number (15092873601).

Almost surely, 230185747201 is an apocalyptic number.

It is an amenable number.

30185747201 is a deficient number, since it is larger than the sum of its proper divisors (1).

30185747201 is an equidigital number, since it uses as much as digits as its factorization.

30185747201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 30185747201 in words is "thirty billion, one hundred eighty-five million, seven hundred forty-seven thousand, two hundred one".