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105205314255 = 3515234605179
BaseRepresentation
bin110000111111010111…
…0011011001011001111
3101001112221100201000120
41201332232123023033
53210430030024010
6120155231000023
710413041262546
oct1417656331317
9331487321016
10105205314255
1140687725808
1218481069013
139bc8066452
1451404c915d
152b0b1e9e70
hex187eb9b2cf

105205314255 has 16 divisors (see below), whose sum is σ = 168439063680. Its totient is φ = 56072647328.

The previous prime is 105205314239. The next prime is 105205314289. The reversal of 105205314255 is 552413502501.

It is a cyclic number.

It is not a de Polignac number, because 105205314255 - 24 = 105205314239 is a prime.

It is a super-2 number, since 2×1052053142552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 2279745 + ... + 2325434.

It is an arithmetic number, because the mean of its divisors is an integer number (10527441480).

Almost surely, 2105205314255 is an apocalyptic number.

105205314255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105205314255 is a deficient number, since it is larger than the sum of its proper divisors (63233749425).

105205314255 is a wasteful number, since it uses less digits than its factorization.

105205314255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606710.

The product of its (nonzero) digits is 30000, while the sum is 33.

Adding to 105205314255 its reverse (552413502501), we get a palindrome (657618816756).

The spelling of 105205314255 in words is "one hundred five billion, two hundred five million, three hundred fourteen thousand, two hundred fifty-five".

Divisors: 1 3 5 15 1523 4569 7615 22845 4605179 13815537 23025895 69077685 7013687617 21041062851 35068438085 105205314255