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12103301322 = 23272916571999
BaseRepresentation
bin10110100010110100…
…11011100011001010
31011020111111102010100
423101122123203022
5144241421120242
65320555430230
7605634235530
oct132132334312
934214442110
1012103301322
115150aa8472
122419455376
1311ab692b78
1482b62c150
154ac87854c
hex2d169b8ca

12103301322 has 96 divisors (see below), whose sum is σ = 31037760000. Its totient is φ = 3335157504.

The previous prime is 12103301299. The next prime is 12103301341. The reversal of 12103301322 is 22310330121.

12103301322 is a `hidden beast` number, since 1 + 2 + 10 + 330 + 1 + 322 = 666.

12103301322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121033013222 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12103301295 and 12103301304.

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 47 ways as a sum of consecutive naturals, for example, 6053679 + ... + 6055677.

It is an arithmetic number, because the mean of its divisors is an integer number (323310000).

Almost surely, 212103301322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103301322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518880000).

12103301322 is an abundant number, since it is smaller than the sum of its proper divisors (18934458678).

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

12103301322 is a wasteful number, since it uses less digits than its factorization.

12103301322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12103301322 its reverse (22310330121), we get a palindrome (34413631443).

The spelling of 12103301322 in words is "twelve billion, one hundred three million, three hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1657 1827 1999 3314 3654 3998 4971 5997 9942 11599 11994 13993 14913 17991 23198 27986 29826 34797 35982 41979 48053 57971 69594 83958 96106 104391 115942 125937 144159 173913 208782 251874 288318 336371 347826 405797 432477 521739 672742 811594 864954 1009113 1043478 1217391 2018226 2434782 3027339 3312343 3652173 6054678 6624686 7304346 9937029 19874058 23186401 29811087 46372802 59622174 69559203 96057947 139118406 192115894 208677609 288173841 417355218 576347682 672405629 864521523 1344811258 1729043046 2017216887 4034433774 6051650661 12103301322