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188712081208201 is a prime number
BaseRepresentation
bin101010111010000111110100…
…100100001011001110001001
3220202011200212101222022120111
4222322013310210023032021
5144213324320242130301
61505205044442554321
754514666202560045
oct5272076444131611
9822150771868514
10188712081208201
1155147387145731
12191b97ba2089a1
13813b61bc65045
1434859dba67025
1516c3c7ab88551
hexaba1f490b389

188712081208201 has 2 divisors, whose sum is σ = 188712081208202. Its totient is φ = 188712081208200.

The previous prime is 188712081208187. The next prime is 188712081208237. The reversal of 188712081208201 is 102802180217881.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188697586252176 + 14494956025 = 13736724^2 + 120395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-188712081208201 is a prime.

It is a super-2 number, since 2×1887120812082012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (188712081208241) 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, 94356040604100 + 94356040604101.

It is an arithmetic number, because the mean of its divisors is an integer number (94356040604101).

Almost surely, 2188712081208201 is an apocalyptic number.

It is an amenable number.

188712081208201 is a deficient number, since it is larger than the sum of its proper divisors (1).

188712081208201 is an equidigital number, since it uses as much as digits as its factorization.

188712081208201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 229376, while the sum is 49.

The spelling of 188712081208201 in words is "one hundred eighty-eight trillion, seven hundred twelve billion, eighty-one million, two hundred eight thousand, two hundred one".