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331022213102112 = 25371321372893701
BaseRepresentation
bin100101101000100000001110…
…1011011001011101000100000
31121102001102012011221021102220
41023101000131123023220200
5321341431443023231422
63132005301053511040
7126503365012161060
oct11321003533135040
91542042164837386
10331022213102112
11965238066238a4
12311623a54a2480
1311292350b556ac
145ba57bc3dd3a0
1528409aa073e5c
hex12d101d6cba20

331022213102112 has 96 divisors (see below), whose sum is σ = 993818395672704. Its totient is φ = 94506179328000.

The previous prime is 331022213102111. The next prime is 331022213102117. The reversal of 331022213102112 is 211201312220133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (331022213102111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185559139 + ... + 187334562.

It is an arithmetic number, because the mean of its divisors is an integer number (10352274954924).

Almost surely, 2331022213102112 is an apocalyptic number.

331022213102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331022213102112 is an abundant number, since it is smaller than the sum of its proper divisors (662796182570592).

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

331022213102112 is a wasteful number, since it uses less digits than its factorization.

331022213102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372895042 (or 372895034 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 331022213102112 its reverse (211201312220133), we get a palindrome (542223525322245).

The spelling of 331022213102112 in words is "three hundred thirty-one trillion, twenty-two billion, two hundred thirteen million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1321 2642 3963 5284 7926 9247 10568 15852 18494 21136 27741 31704 36988 42272 55482 63408 73976 110964 126816 147952 221928 295904 443856 887712 372893701 745787402 1118681103 1491574804 2237362206 2610255907 2983149608 4474724412 5220511814 5966299216 7830767721 8949448824 10441023628 11932598432 15661535442 17898897648 20882047256 31323070884 35797795296 41764094512 62646141768 83528189024 125292283536 250584567072 492592579021 985185158042 1477777737063 1970370316084 2955555474126 3448148053147 3940740632168 5911110948252 6896296106294 7881481264336 10344444159441 11822221896504 13792592212588 15762962528672 20688888318882 23644443793008 27585184425176 41377776637764 47288887586016 55170368850352 82755553275528 110340737700704 165511106551056 331022213102112