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305235132135 = 35314346332971
BaseRepresentation
bin1000111000100010110…
…11100111111011100111
31002011212100202021221220
410130101123213323213
520000110143212020
6352120104111423
731024003546263
oct4342133477347
91064770667856
10305235132135
111084a430258a
124b1a6765573
1322a255c572b
1410ab852d0a3
157e170ae240
hex47116e7ee7

305235132135 has 64 divisors (see below), whose sum is σ = 516984078336. Its totient is φ = 153539971200.

The previous prime is 305235132119. The next prime is 305235132143. The reversal of 305235132135 is 531231532503.

It is not a de Polignac number, because 305235132135 - 24 = 305235132119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 305235132096 and 305235132105.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9241200 + ... + 9274170.

It is an arithmetic number, because the mean of its divisors is an integer number (8077876224).

Almost surely, 2305235132135 is an apocalyptic number.

305235132135 is a deficient number, since it is larger than the sum of its proper divisors (211748946201).

305235132135 is a wasteful number, since it uses less digits than its factorization.

305235132135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33516.

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 305235132135 its reverse (531231532503), we get a palindrome (836466664638).

The spelling of 305235132135 in words is "three hundred five billion, two hundred thirty-five million, one hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 15 31 43 93 129 155 215 463 465 645 1333 1389 2315 3999 6665 6945 14353 19909 19995 32971 43059 59727 71765 98913 99545 164855 215295 298635 494565 617179 1022101 1417753 1851537 3066303 3085895 4253259 5110505 7088765 9257685 15265573 15331515 21266295 43950343 45796719 76327865 131851029 219751715 228983595 473232763 656419639 659255145 1419698289 1969258917 2366163815 3282098195 7098491445 9846294585 20349008809 61047026427 101745044045 305235132135