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30501346356 = 223213292247373
BaseRepresentation
bin11100011010000001…
…011001110000110100
32220201200122221021200
4130122001121300310
5444431321040411
622002341412500
72126565111015
oct343201316064
986650587250
1030501346356
1111a3223aa68
125ab2a0a130
132b511cbc50
141694c7100c
15bd7b5ae56
hex71a059c34

30501346356 has 72 divisors (see below), whose sum is σ = 85894634280. Its totient is φ = 9061403904.

The previous prime is 30501346349. The next prime is 30501346367. The reversal of 30501346356 is 65364310503.

30501346356 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 13 + 4 + 635 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 662238756 + 29839107600 = 25734^2 + 172740^2 .

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 30501346356.

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, 1110115 + ... + 1137258.

Almost surely, 230501346356 is an apocalyptic number.

30501346356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30501346356 is an abundant number, since it is smaller than the sum of its proper divisors (55393287924).

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

30501346356 is a wasteful number, since it uses less digits than its factorization.

30501346356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247425 (or 2247420 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 30501346356 its reverse (65364310503), we get a palindrome (95865656859).

The spelling of 30501346356 in words is "thirty billion, five hundred one million, three hundred forty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 2247373 4494746 6742119 8989492 13484238 20226357 26968476 29215849 40452714 58431698 65173817 80905428 87647547 116863396 130347634 175295094 195521451 260695268 262942641 350590188 391042902 525885282 586564353 782085804 847259621 1051770564 1173128706 1694519242 2346257412 2541778863 3389038484 5083557726 7625336589 10167115452 15250673178 30501346356