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10191886181 is a prime number
BaseRepresentation
bin10010111110111101…
…11101011101100101
3222022021211110110222
421133132331131211
5131333110324211
64403155254125
7510364413611
oct113736753545
928267743428
1010191886181
114360065a34
121b852aa345
13c656935a9
146c9832341
153e9b631db
hex25f7bd765

10191886181 has 2 divisors, whose sum is σ = 10191886182. Its totient is φ = 10191886180.

The previous prime is 10191886157. The next prime is 10191886219. The reversal of 10191886181 is 18168819101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10042044100 + 149842081 = 100210^2 + 12241^2 .

It is an emirp because it is prime and its reverse (18168819101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18198816101 and 10161889181.

It is a cyclic number.

It is not a de Polignac number, because 10191886181 - 214 = 10191869797 is a prime.

It is a super-2 number, since 2×101918861812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10191886381) 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, 5095943090 + 5095943091.

It is an arithmetic number, because the mean of its divisors is an integer number (5095943091).

Almost surely, 210191886181 is an apocalyptic number.

It is an amenable number.

10191886181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10191886181 is an equidigital number, since it uses as much as digits as its factorization.

10191886181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 44.

The spelling of 10191886181 in words is "ten billion, one hundred ninety-one million, eight hundred eighty-six thousand, one hundred eighty-one".