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12000103332 = 223735355009
BaseRepresentation
bin10110010110100001…
…10000101110100100
31010222022022102002120
423023100300232210
5144034011301312
65302431505540
7603242124000
oct131320605644
933868272076
1012000103332
1150a8822278
1223aa9882b0
13119319c879
1481ba47700
154a379128c
hex2cb430ba4

12000103332 has 96 divisors (see below), whose sum is σ = 33270048000. Its totient is φ = 3363849216.

The previous prime is 12000103289. The next prime is 12000103337. The reversal of 12000103332 is 23330100021.

It is not an unprimeable number, because it can be changed into a prime (12000103337) 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, 190644 + ... + 245652.

It is an arithmetic number, because the mean of its divisors is an integer number (346563000).

Almost surely, 212000103332 is an apocalyptic number.

12000103332 is a gapful number since it is divisible by the number (12) 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 12000103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635024000).

12000103332 is an abundant number, since it is smaller than the sum of its proper divisors (21269944668).

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

12000103332 is a wasteful number, since it uses less digits than its factorization.

12000103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55090 (or 55074 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12000103332 its reverse (23330100021), we get a palindrome (35330203353).

The spelling of 12000103332 in words is "twelve billion, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 343 371 588 636 686 742 1029 1113 1372 1484 2058 2226 2597 4116 4452 5194 7791 10388 15582 18179 31164 36358 54537 55009 72716 109074 110018 165027 218148 220036 330054 385063 660108 770126 1155189 1540252 2310378 2695441 2915477 4620756 5390882 5830954 8086323 8746431 10781764 11661908 16172646 17492862 18868087 20408339 32345292 34985724 37736174 40816678 56604261 61225017 75472348 81633356 113208522 122450034 142858373 226417044 244900068 285716746 428575119 571433492 857150238 1000008611 1714300476 2000017222 3000025833 4000034444 6000051666 12000103332