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30312213300 = 2232521091931601
BaseRepresentation
bin11100001110101111…
…111010101100110100
32220020111202222111200
4130032233322230310
5444034411311200
621531503532500
72122110363465
oct341657725464
986214688450
1030312213300
11119454aa556
125a5b5ba130
132b20c7acb5
141677abad6c
15bc624b800
hex70ebfab34

30312213300 has 216 divisors, whose sum is σ = 96440624280. Its totient is φ = 7962624000.

The previous prime is 30312213241. The next prime is 30312213311. The reversal of 30312213300 is 331221303.

30312213300 is a `hidden beast` number, since 3 + 0 + 312 + 21 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1208535696 + 29103677604 = 34764^2 + 170598^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18932500 + ... + 18934100.

Almost surely, 230312213300 is an apocalyptic number.

30312213300 is a gapful number since it is divisible by the number (30) 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 30312213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48220312140).

30312213300 is an abundant number, since it is smaller than the sum of its proper divisors (66128410980).

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

30312213300 is a wasteful number, since it uses less digits than its factorization.

30312213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30312213300 its reverse (331221303), we get a palindrome (30643434603).

The spelling of 30312213300 in words is "thirty billion, three hundred twelve million, two hundred thirteen thousand, three hundred".