Search a number
-
+
105232216551 = 3711455550721
BaseRepresentation
bin110001000000001010…
…1000011000111100111
3101001121210222111000220
41202000111003013213
53211003421412201
6120202031335423
710413516040110
oct1420025030747
9331553874026
10105232216551
11406a092a910
121848a081573
139c007c5477
145143ccd207
152b0d761036
hex18805431e7

105232216551 has 16 divisors (see below), whose sum is σ = 174931477248. Its totient is φ = 54666086400.

The previous prime is 105232216501. The next prime is 105232216597. The reversal of 105232216551 is 155612232501.

It is not a de Polignac number, because 105232216551 - 27 = 105232216423 is a prime.

It is a super-2 number, since 2×1052322165512 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232216501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227775130 + ... + 227775591.

It is an arithmetic number, because the mean of its divisors is an integer number (10933217328).

Almost surely, 2105232216551 is an apocalyptic number.

105232216551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105232216551 is a deficient number, since it is larger than the sum of its proper divisors (69699260697).

105232216551 is a wasteful number, since it uses less digits than its factorization.

105232216551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455550742.

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 105232216551 in words is "one hundred five billion, two hundred thirty-two million, two hundred sixteen thousand, five hundred fifty-one".

Divisors: 1 3 7 11 21 33 77 231 455550721 1366652163 3188855047 5011057931 9566565141 15033173793 35077405517 105232216551