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135322122105 = 32517471721327
BaseRepresentation
bin111111000000111010…
…0111011011101111001
3110221021211110001122100
41332001310323131321
54204114430401410
6142055514414013
712530260026222
oct1760164733571
9427254401570
10135322122105
11524318a0255
1222287131309
13c9b76a8501
14679a25c249
1537c01e88c0
hex1f81d3b779

135322122105 has 24 divisors (see below), whose sum is σ = 234692744832. Its totient is φ = 72130444704.

The previous prime is 135322122101. The next prime is 135322122109. The reversal of 135322122105 is 501221223531.

135322122105 is a `hidden beast` number, since 1 + 3 + 532 + 2 + 1 + 22 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (135322122101) and next prime (135322122109).

It is not a de Polignac number, because 135322122105 - 22 = 135322122101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135322122101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 782049 + ... + 939278.

It is an arithmetic number, because the mean of its divisors is an integer number (9778864368).

Almost surely, 2135322122105 is an apocalyptic number.

135322122105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135322122105 is a deficient number, since it is larger than the sum of its proper divisors (99370622727).

135322122105 is a wasteful number, since it uses less digits than its factorization.

135322122105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723085 (or 1723082 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 135322122105 its reverse (501221223531), we get a palindrome (636543345636).

The spelling of 135322122105 in words is "one hundred thirty-five billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 1747 5241 8735 15723 26205 78615 1721327 5163981 8606635 15491943 25819905 77459715 3007158269 9021474807 15035791345 27064424421 45107374035 135322122105