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135106632305 = 573370155157
BaseRepresentation
bin111110111010011111…
…0111001101001110001
3110220201210222001012122
41331310332321221301
54203144244213210
6142022300004025
712522032266121
oct1756476715161
9426653861178
10135106632305
1152331198607
1222226b30615
13c981b59958
1467797a6c81
1537ab32eb55
hex1f74fb9a71

135106632305 has 8 divisors (see below), whose sum is σ = 164348890152. Its totient is φ = 106604684928.

The previous prime is 135106632289. The next prime is 135106632307. The reversal of 135106632305 is 503236601531.

It can be written as a sum of positive squares in 4 ways, for example, as 46297268224 + 88809364081 = 215168^2 + 298009^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135106632305 - 24 = 135106632289 is a prime.

It is a super-2 number, since 2×1351066323052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135106632307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185077214 + ... + 185077943.

It is an arithmetic number, because the mean of its divisors is an integer number (20543611269).

Almost surely, 2135106632305 is an apocalyptic number.

It is an amenable number.

135106632305 is a deficient number, since it is larger than the sum of its proper divisors (29242257847).

135106632305 is an equidigital number, since it uses as much as digits as its factorization.

135106632305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370155235.

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 135106632305 in words is "one hundred thirty-five billion, one hundred six million, six hundred thirty-two thousand, three hundred five".

Divisors: 1 5 73 365 370155157 1850775785 27021326461 135106632305