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30147599820 = 2235131931211311
BaseRepresentation
bin11100000100111011…
…111101110111001100
32212211001000202021010
4130010323331313030
5443220241143240
621503303405220
72115041241012
oct340473756714
985731022233
1030147599820
1111870596a58
125a14453810
132ac5b33680
14165dcaa8b2
15bb6a82280
hex704efddcc

30147599820 has 384 divisors, whose sum is σ = 99565240320. Its totient is φ = 6749568000.

The previous prime is 30147599819. The next prime is 30147599821. The reversal of 30147599820 is 2899574103.

It is an interprime number because it is at equal distance from previous prime (30147599819) and next prime (30147599821).

It is a self number, because there is not a number n which added to its sum of digits gives 30147599820.

It is not an unprimeable number, because it can be changed into a prime (30147599821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96937465 + ... + 96937775.

It is an arithmetic number, because the mean of its divisors is an integer number (259284480).

Almost surely, 230147599820 is an apocalyptic number.

30147599820 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 30147599820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49782620160).

30147599820 is an abundant number, since it is smaller than the sum of its proper divisors (69417640500).

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

30147599820 is a wasteful number, since it uses less digits than its factorization.

30147599820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 30147599820 in words is "thirty billion, one hundred forty-seven million, five hundred ninety-nine thousand, eight hundred twenty".