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105156216593 is a prime number
BaseRepresentation
bin110000111101111001…
…1001000011100010001
3101001102111222021200122
41201323303020130101
53210324442412333
6120150314400025
710411604043641
oct1417363103421
9331374867618
10105156216593
1140661a40a2a
1218468730015
139bbab3598c
145137b88521
152b06c4c798
hex187bcc8711

105156216593 has 2 divisors, whose sum is σ = 105156216594. Its totient is φ = 105156216592.

The previous prime is 105156216493. The next prime is 105156216629. The reversal of 105156216593 is 395612651501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60519936064 + 44636280529 = 246008^2 + 211273^2 .

It is a cyclic number.

It is not a de Polignac number, because 105156216593 - 220 = 105155168017 is a prime.

It is a super-2 number, since 2×1051562165932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105156216293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578108296 + 52578108297.

It is an arithmetic number, because the mean of its divisors is an integer number (52578108297).

Almost surely, 2105156216593 is an apocalyptic number.

It is an amenable number.

105156216593 is a deficient number, since it is larger than the sum of its proper divisors (1).

105156216593 is an equidigital number, since it uses as much as digits as its factorization.

105156216593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243000, while the sum is 44.

The spelling of 105156216593 in words is "one hundred five billion, one hundred fifty-six million, two hundred sixteen thousand, five hundred ninety-three".