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201121110110993 is a prime number
BaseRepresentation
bin101101101110101100101000…
…010100110011001100010001
3222101002222201222002120112212
4231232230220110303030101
5202330132013142022433
61551425432410001505
760235343412113252
oct5556545024631421
9871088658076485
10201121110110993
11590a0a90494166
121a682750a16295
13882b840722997
1437944569c4b29
15183b94ce8cd48
hexb6eb28533311

201121110110993 has 2 divisors, whose sum is σ = 201121110110994. Its totient is φ = 201121110110992.

The previous prime is 201121110110989. The next prime is 201121110111041. The reversal of 201121110110993 is 399011011121102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135412042142224 + 65709067968769 = 11636668^2 + 8106113^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121110110993 - 22 = 201121110110989 is a prime.

It is not a weakly prime, because it can be changed into another prime (201121110110093) 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, 100560555055496 + 100560555055497.

It is an arithmetic number, because the mean of its divisors is an integer number (100560555055497).

Almost surely, 2201121110110993 is an apocalyptic number.

It is an amenable number.

201121110110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121110110993 is an equidigital number, since it uses as much as digits as its factorization.

201121110110993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 32.

The spelling of 201121110110993 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred ten million, one hundred ten thousand, nine hundred ninety-three".