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111210001000057 is a prime number
BaseRepresentation
bin11001010010010100011000…
…100110101110011001111001
3112120202120110011220100001001
4121102110120212232121321
5104034031040224000212
61032305100312325001
732265441332361301
oct3122243046563171
9476676404810031
10111210001000057
1132486995364693
12105812b03a3761
134a0909a83687b
141d668427ac601
15cccc62407657
hex6525189ae679

111210001000057 has 2 divisors, whose sum is σ = 111210001000058. Its totient is φ = 111210001000056.

The previous prime is 111210001000037. The next prime is 111210001000129. The reversal of 111210001000057 is 750000100012111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110684265794281 + 525735205776 = 10520659^2 + 725076^2 .

It is a cyclic number.

It is not a de Polignac number, because 111210001000057 - 235 = 111175641261689 is a prime.

It is a super-2 number, since 2×1112100010000572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111210000999998 and 111210001000043.

It is not a weakly prime, because it can be changed into another prime (111210001000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55605000500028 + 55605000500029.

It is an arithmetic number, because the mean of its divisors is an integer number (55605000500029).

Almost surely, 2111210001000057 is an apocalyptic number.

It is an amenable number.

111210001000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

111210001000057 is an equidigital number, since it uses as much as digits as its factorization.

111210001000057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 111210001000057 its reverse (750000100012111), we get a palindrome (861210101012168).

The spelling of 111210001000057 in words is "one hundred eleven trillion, two hundred ten billion, one million, fifty-seven", and thus it is an aban number.