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30003300000 = 253255173753
BaseRepresentation
bin11011111100010101…
…100000011010100000
32212102222111120010100
4123330111200122200
5442421321100000
621441110502400
72111336561562
oct337425403240
985388446110
1030003300000
11117a7098403
125994064a00
132aa1c7c16b
141648a67332
15ba907ba00
hex6fc5606a0

30003300000 has 864 divisors, whose sum is σ = 118158781104. Its totient is φ = 7188480000.

The previous prime is 30003299971. The next prime is 30003300023. The reversal of 30003300000 is 330003.

It can be written as a sum of positive squares in 24 ways, for example, as 11002331664 + 19000968336 = 104892^2 + 137844^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566099974 + ... + 566100026.

Almost surely, 230003300000 is an apocalyptic number.

30003300000 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 30003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59079390552).

30003300000 is an abundant number, since it is smaller than the sum of its proper divisors (88155481104).

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

30003300000 is a wasteful number, since it uses less digits than its factorization.

30003300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

Adding to 30003300000 its reverse (330003), we get a palindrome (30003630003).

The spelling of 30003300000 in words is "thirty billion, three million, three hundred thousand".