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30561331356 = 223219421106129
BaseRepresentation
bin11100011101100110…
…001110100010011100
32220212212112111020100
4130131212032202130
51000042200100411
622012323221100
72131224013263
oct343546164234
986785474210
1030561331356
1111a63090646
125b0ab17790
132b6077212a
14169cc075da
15bdd059456
hex71d98e89c

30561331356 has 72 divisors (see below), whose sum is σ = 81512085200. Its totient is φ = 9627932160.

The previous prime is 30561331349. The next prime is 30561331379. The reversal of 30561331356 is 65313316503.

30561331356 is a `hidden beast` number, since 3 + 0 + 5 + 613 + 3 + 1 + 35 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30561331356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234900 + ... + 341028.

Almost surely, 230561331356 is an apocalyptic number.

30561331356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30561331356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40756042600).

30561331356 is an abundant number, since it is smaller than the sum of its proper divisors (50950753844).

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

30561331356 is a wasteful number, since it uses less digits than its factorization.

30561331356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106579 (or 106574 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 30561331356 its reverse (65313316503), we get a palindrome (95874647859).

The spelling of 30561331356 in words is "thirty billion, five hundred sixty-one million, three hundred thirty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 421 684 842 1263 1684 2526 3789 5052 7578 7999 15156 15998 23997 31996 47994 71991 95988 106129 143982 212258 287964 318387 424516 636774 955161 1273548 1910322 2016451 3820644 4032902 6049353 8065804 12098706 18148059 24197412 36296118 44680309 72592236 89360618 134040927 178721236 268081854 402122781 536163708 804245562 848925871 1608491124 1697851742 2546777613 3395703484 5093555226 7640332839 10187110452 15280665678 30561331356