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10501916197 is a prime number
BaseRepresentation
bin10011100011111011…
…01000011000100101
31000002220012121201011
421301331220120211
5133001442304242
64454032302221
7521150546323
oct116175503045
930086177634
1010501916197
1144aa070093
1220510a1971
13cb49937c6
14718a96d13
15416ea3d17
hex271f68625

10501916197 has 2 divisors, whose sum is σ = 10501916198. Its totient is φ = 10501916196.

The previous prime is 10501916179. The next prime is 10501916207. The reversal of 10501916197 is 79161910501.

10501916197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10501916179) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8745803361 + 1756112836 = 93519^2 + 41906^2 .

It is a cyclic number.

It is not a de Polignac number, because 10501916197 - 215 = 10501883429 is a prime.

It is a super-3 number, since 3×105019161973 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10501916167) 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, 5250958098 + 5250958099.

It is an arithmetic number, because the mean of its divisors is an integer number (5250958099).

Almost surely, 210501916197 is an apocalyptic number.

It is an amenable number.

10501916197 is a deficient number, since it is larger than the sum of its proper divisors (1).

10501916197 is an equidigital number, since it uses as much as digits as its factorization.

10501916197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 40.

The spelling of 10501916197 in words is "ten billion, five hundred one million, nine hundred sixteen thousand, one hundred ninety-seven".