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30604123305 = 3257213879421
BaseRepresentation
bin11100100000001001…
…011101110010101001
32220222212001112202100
4130200021131302221
51000134123421210
622020452324013
72132253520200
oct344011356251
986885045670
1030604123305
1111a85258898
125b21313609
132b695a5702
1416a4786237
15be1bad5c0
hex72025dca9

30604123305 has 36 divisors (see below), whose sum is σ = 61707910212. Its totient is φ = 13990455360.

The previous prime is 30604123301. The next prime is 30604123337. The reversal of 30604123305 is 50332140603.

It is a happy number.

30604123305 is a `hidden beast` number, since 3 + 0 + 604 + 1 + 23 + 30 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4259911824 + 26344211481 = 65268^2 + 162309^2 .

It is not a de Polignac number, because 30604123305 - 22 = 30604123301 is a prime.

It is a super-2 number, since 2×306041233052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30604123301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6937506 + ... + 6941915.

It is an arithmetic number, because the mean of its divisors is an integer number (1714108617).

Almost surely, 230604123305 is an apocalyptic number.

30604123305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30604123305 is an abundant number, since it is smaller than the sum of its proper divisors (31103786907).

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

30604123305 is a wasteful number, since it uses less digits than its factorization.

30604123305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13879446 (or 13879436 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 30604123305 its reverse (50332140603), we get a palindrome (80936263908).

The spelling of 30604123305 in words is "thirty billion, six hundred four million, one hundred twenty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 13879421 41638263 69397105 97155947 124914789 208191315 291467841 485779735 624573945 680091629 874403523 1457339205 2040274887 3400458145 4372017615 6120824661 10201374435 30604123305