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135414105211 = 7111992559197
BaseRepresentation
bin111111000011101001…
…1110100010001111011
3110221112020112021202001
41332013103310101323
54204312002331321
6142113002121431
712532454621440
oct1760723642173
9427466467661
10135414105211
1152479806550
12222b1ab0277
13ca00772c98
1467a85639c7
1537c8317c91
hex1f874f447b

135414105211 has 16 divisors (see below), whose sum is σ = 177713660160. Its totient is φ = 99963931680.

The previous prime is 135414105209. The next prime is 135414105223. The reversal of 135414105211 is 112501414531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135414105211 - 21 = 135414105209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135414105211.

It is not an unprimeable number, because it can be changed into a prime (135414105511) 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, 46278136 + ... + 46281061.

It is an arithmetic number, because the mean of its divisors is an integer number (11107103760).

Almost surely, 2135414105211 is an apocalyptic number.

135414105211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135414105211 is a deficient number, since it is larger than the sum of its proper divisors (42299554949).

135414105211 is a wasteful number, since it uses less digits than its factorization.

135414105211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92559234.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 135414105211 its reverse (112501414531), we get a palindrome (247915519742).

The spelling of 135414105211 in words is "one hundred thirty-five billion, four hundred fourteen million, one hundred five thousand, two hundred eleven".

Divisors: 1 7 11 19 77 133 209 1463 92559197 647914379 1018151167 1758624743 7127058169 12310373201 19344872173 135414105211