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135314121054 = 23723891348583
BaseRepresentation
bin111111000000101011…
…0011010000101011110
3110221021021101120021010
41332001112122011132
54204110403333204
6142055031120050
712530132023440
oct1760126320536
9427237346233
10135314121054
1152428325a12
1222284513026
13c9b5b36768
146799178490
1537be667d89
hex1f8159a15e

135314121054 has 32 divisors (see below), whose sum is σ = 309419112960. Its totient is φ = 38644965792.

The previous prime is 135314121031. The next prime is 135314121113. The reversal of 135314121054 is 450121413531.

It is a super-2 number, since 2×1353141210542 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573954 + ... + 774629.

It is an arithmetic number, because the mean of its divisors is an integer number (9669347280).

Almost surely, 2135314121054 is an apocalyptic number.

135314121054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135314121054 is an abundant number, since it is smaller than the sum of its proper divisors (174104991906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135314121054 is a wasteful number, since it uses less digits than its factorization.

135314121054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350984.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 135314121054 its reverse (450121413531), we get a palindrome (585435534585).

The spelling of 135314121054 in words is "one hundred thirty-five billion, three hundred fourteen million, one hundred twenty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 2389 4778 7167 14334 16723 33446 50169 100338 1348583 2697166 4045749 8091498 9440081 18880162 28320243 56640486 3221764787 6443529574 9665294361 19330588722 22552353509 45104707018 67657060527 135314121054