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105116226255 = 335977796969
BaseRepresentation
bin110000111100101101…
…0100101001011001111
3101001022201201120021000
41201321122211023033
53210234223220010
6120142325311343
710410610116015
oct1417132451317
9331281646230
10105116226255
1140641407667
1218457265553
139bb2773661
1451327388b5
152b0349d7c0
hex18796a52cf

105116226255 has 32 divisors (see below), whose sum is σ = 187064798400. Its totient is φ = 56004535296.

The previous prime is 105116226251. The next prime is 105116226269. The reversal of 105116226255 is 552622611501.

105116226255 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 6 + 22 + 625 + 5 = 666.

It is not a de Polignac number, because 105116226255 - 22 = 105116226251 is a prime.

It is a super-2 number, since 2×1051162262552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116226251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266590 + ... + 530379.

It is an arithmetic number, because the mean of its divisors is an integer number (5845774950).

Almost surely, 2105116226255 is an apocalyptic number.

105116226255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105116226255 is a deficient number, since it is larger than the sum of its proper divisors (81948572145).

105116226255 is an equidigital number, since it uses as much as digits as its factorization.

105116226255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797960 (or 797954 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 105116226255 its reverse (552622611501), we get a palindrome (657738837756).

The spelling of 105116226255 in words is "one hundred five billion, one hundred sixteen million, two hundred twenty-six thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 977 2931 4885 8793 14655 26379 43965 131895 796969 2390907 3984845 7172721 11954535 21518163 35863605 107590815 778638713 2335916139 3893193565 7007748417 11679580695 21023245251 35038742085 105116226255