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12101311320 = 2335714406323
BaseRepresentation
bin10110100010100101…
…10101101101011000
31011020100202022100120
423101102311231120
5144240413430240
65320445033240
7605611310010
oct132122655530
934210668316
1012101311320
11514a96933a
122418855820
1311ab147157
1482b270c40
154ac5d3ad0
hex2d14b5b58

12101311320 has 64 divisors (see below), whose sum is σ = 41490213120. Its totient is φ = 2766013824.

The previous prime is 12101311309. The next prime is 12101311361. The reversal of 12101311320 is 2311310121.

It is a happy number.

12101311320 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101311320.

It is a congruent number.

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, 7202322 + ... + 7204001.

It is an arithmetic number, because the mean of its divisors is an integer number (648284580).

Almost surely, 212101311320 is an apocalyptic number.

12101311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101311320 is an abundant number, since it is smaller than the sum of its proper divisors (29388901800).

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

12101311320 is a wasteful number, since it uses less digits than its factorization.

12101311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406344 (or 14406340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12101311320 its reverse (2311310121), we get a palindrome (14412621441).

The spelling of 12101311320 in words is "twelve billion, one hundred one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 14406323 28812646 43218969 57625292 72031615 86437938 100844261 115250584 144063230 172875876 201688522 216094845 288126460 302532783 345751752 403377044 432189690 504221305 576252920 605065566 806754088 864379380 1008442610 1210131132 1512663915 1728758760 2016885220 2420262264 3025327830 4033770440 6050655660 12101311320