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12000513330 = 23251310256849
BaseRepresentation
bin10110010110100100…
…10100110100110010
31010222100002020111200
423023102110310302
5144034112411310
65302444352030
7603245452221
oct131322246462
933870066450
1012000513330
1150a8a82313
1223aab45616
1311932b4380
1481bb12cb8
154a38229c0
hex2cb494d32

12000513330 has 48 divisors (see below), whose sum is σ = 33601440600. Its totient is φ = 2953972224.

The previous prime is 12000513319. The next prime is 12000513331. The reversal of 12000513330 is 3331500021.

12000513330 is a `hidden beast` number, since 120 + 0 + 0 + 513 + 3 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3510918009 + 8489595321 = 59253^2 + 92139^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12000513331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5127255 + ... + 5129594.

Almost surely, 212000513330 is an apocalyptic number.

12000513330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000513330 is an abundant number, since it is smaller than the sum of its proper divisors (21600927270).

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

12000513330 is a wasteful number, since it uses less digits than its factorization.

12000513330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256875 (or 10256872 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The spelling of 12000513330 in words is "twelve billion, five hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 10256849 20513698 30770547 51284245 61541094 92311641 102568490 133339037 153852735 184623282 266678074 307705470 400017111 461558205 666695185 800034222 923116410 1200051333 1333390370 2000085555 2400102666 4000171110 6000256665 12000513330