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12332013320 = 2351188331741
BaseRepresentation
bin10110111110000101…
…11001011100001000
31011211102212012000002
423133002321130020
5200223443411240
65355405502132
7614412245414
oct133702713410
934742765002
1012332013320
115259111150
122481b71948
131216b90b03
1484db65d44
154c29a4d15
hex2df0b9708

12332013320 has 64 divisors (see below), whose sum is σ = 30304722240. Its totient is φ = 4479148800.

The previous prime is 12332013319. The next prime is 12332013347. The reversal of 12332013320 is 2331023321.

12332013320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12332013292 and 12332013301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372650 + ... + 404390.

It is an arithmetic number, because the mean of its divisors is an integer number (473511285).

Almost surely, 212332013320 is an apocalyptic number.

12332013320 is a gapful number since it is divisible by the number (10) 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 12332013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152361120).

12332013320 is an abundant number, since it is smaller than the sum of its proper divisors (17972708920).

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

12332013320 is a wasteful number, since it uses less digits than its factorization.

12332013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32646 (or 32642 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12332013320 its reverse (2331023321), we get a palindrome (14663036641).

The spelling of 12332013320 in words is "twelve billion, three hundred thirty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 883 1766 3532 4415 7064 8830 9713 17660 19426 31741 35320 38852 48565 63482 77704 97130 126964 158705 194260 253928 317410 349151 388520 634820 698302 1269640 1396604 1745755 2793208 3491510 6983020 13966040 28027303 56054606 112109212 140136515 224218424 280273030 308300333 560546060 616600666 1121092120 1233201332 1541501665 2466402664 3083003330 6166006660 12332013320