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30219530112 = 2733311272221
BaseRepresentation
bin11100001001001110…
…010110111110000000
32220000001101012002000
4130021032112332000
5443342144430422
621514353224000
72116603524222
oct341116267600
986001335060
1030219530112
11118a8156282
125a34562000
132b079c9985
141669672412
15bbd03ecac
hex709396f80

30219530112 has 256 divisors, whose sum is σ = 92833382400. Its totient is φ = 9667123200.

The previous prime is 30219530071. The next prime is 30219530119. The reversal of 30219530112 is 21103591203.

30219530112 is a `hidden beast` number, since 3 + 0 + 2 + 19 + 530 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30219530119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13605162 + ... + 13607382.

It is an arithmetic number, because the mean of its divisors is an integer number (362630400).

Almost surely, 230219530112 is an apocalyptic number.

30219530112 is a gapful number since it is divisible by the number (32) 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 30219530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46416691200).

30219530112 is an abundant number, since it is smaller than the sum of its proper divisors (62613852288).

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

30219530112 is a wasteful number, since it uses less digits than its factorization.

30219530112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 30219530112 in words is "thirty billion, two hundred nineteen million, five hundred thirty thousand, one hundred twelve".