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12321311311300 = 22521017703158371
BaseRepresentation
bin1011001101001100011101…
…1000100100010111000100
31121121220110100222220201111
42303103013120210113010
53103333021143430200
642112155434334404
72411120403052645
oct263230730442704
947556410886644
1012321311311300
113a20491023772
12146bb5228a404
136b4b82791764
143084d722d6cc
1516578b5220ba
hexb34c76245c4

12321311311300 has 72 divisors (see below), whose sum is σ = 27005646652992. Its totient is φ = 4879062960000.

The previous prime is 12321311311277. The next prime is 12321311311313. The reversal of 12321311311300 is 311311312321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77721115 + ... + 77879485.

It is an arithmetic number, because the mean of its divisors is an integer number (375078425736).

Almost surely, 212321311311300 is an apocalyptic number.

12321311311300 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 12321311311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502823326496).

12321311311300 is an abundant number, since it is smaller than the sum of its proper divisors (14684335341692).

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

12321311311300 is a wasteful number, since it uses less digits than its factorization.

12321311311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166189 (or 166182 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12321311311300 its reverse (311311312321), we get a palindrome (12632622623621).

The spelling of 12321311311300 in words is "twelve trillion, three hundred twenty-one billion, three hundred eleven million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 7703 10100 15406 30812 38515 77030 154060 158371 192575 316742 385150 633484 770300 778003 791855 1556006 1583710 3112012 3167420 3890015 3959275 7780030 7918550 15560060 15837100 15995471 19450075 31990942 38900150 63981884 77800300 79977355 159954710 319909420 399886775 799773550 1219931813 1599547100 2439863626 4879727252 6099659065 12199318130 24398636260 30498295325 60996590650 121993181300 123213113113 246426226226 492852452452 616065565565 1232131131130 2464262262260 3080327827825 6160655655650 12321311311300