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135513255141 = 32118291651171
BaseRepresentation
bin111111000110100111…
…0000010110011100101
3110221210011002121212200
41332031032002303211
54210012343131031
6142130503205113
712535100443335
oct1761516026345
9427704077780
10135513255141
115251a777340
122231b146799
13ca18179894
1467b77b30c5
1537d1da08e6
hex1f8d382ce5

135513255141 has 24 divisors (see below), whose sum is σ = 213793750560. Its totient is φ = 82030125600.

The previous prime is 135513255139. The next prime is 135513255217. The reversal of 135513255141 is 141552315531.

135513255141 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 132 + 5 + 514 + 1 = 666.

It is not a de Polignac number, because 135513255141 - 21 = 135513255139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135513255096 and 135513255105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135513255041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743515 + ... + 907656.

It is an arithmetic number, because the mean of its divisors is an integer number (8908072940).

Almost surely, 2135513255141 is an apocalyptic number.

135513255141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135513255141 is a deficient number, since it is larger than the sum of its proper divisors (78280495419).

135513255141 is a wasteful number, since it uses less digits than its factorization.

135513255141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652017 (or 1652014 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 135513255141 in words is "one hundred thirty-five billion, five hundred thirteen million, two hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 829 2487 7461 9119 27357 82071 1651171 4953513 14860539 18162881 54488643 163465929 1368820759 4106462277 12319386831 15057028349 45171085047 135513255141