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105253116551 = 1123940035419
BaseRepresentation
bin110001000000110010…
…0110001101010000111
3101001200021022022102222
41202001210301222013
53211024244212201
6120204055322555
710414161505052
oct1420144615207
9331607268388
10105253116551
1140701705340
121849508045b
139c04c3242b
1451469ada99
152b104dd91b
hex1881931a87

105253116551 has 8 divisors (see below), whose sum is σ = 115302009600. Its totient is φ = 95284294840.

The previous prime is 105253116541. The next prime is 105253116569. The reversal of 105253116551 is 155611352501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105253116551 is a prime.

It is a super-2 number, since 2×1052531165512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105253116541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20015081 + ... + 20020338.

It is an arithmetic number, because the mean of its divisors is an integer number (14412751200).

Almost surely, 2105253116551 is an apocalyptic number.

105253116551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105253116551 is a deficient number, since it is larger than the sum of its proper divisors (10048893049).

105253116551 is a wasteful number, since it uses less digits than its factorization.

105253116551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40035669.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105253116551 in words is "one hundred five billion, two hundred fifty-three million, one hundred sixteen thousand, five hundred fifty-one".

Divisors: 1 11 239 2629 40035419 440389609 9568465141 105253116551