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22302122032112 = 24131312693042701
BaseRepresentation
bin1010001001000100111100…
…00011111011101111110000
32220222001200020012210011212
411010202132003323233300
510410344221220011422
6115233241534455252
74461163242311006
oct504423603735760
986861606183155
1022302122032112
11711930552126a
122602373664528
13c5a1091a9bc0
145715dd9d2a76
1528a1e198c9e2
hex14489e0fbbf0

22302122032112 has 80 divisors (see below), whose sum is σ = 47063784287520. Its totient is φ = 10176736128000.

The previous prime is 22302122032093. The next prime is 22302122032123. The reversal of 22302122032112 is 21123022120322.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5808362 + ... + 8851062.

It is an arithmetic number, because the mean of its divisors is an integer number (588297303594).

Almost surely, 222302122032112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22302122032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23531892143760).

22302122032112 is an abundant number, since it is smaller than the sum of its proper divisors (24761662255408).

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

22302122032112 is a wasteful number, since it uses less digits than its factorization.

22302122032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043122 (or 3043116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22302122032112 its reverse (21123022120322), we get a palindrome (43425144152434).

The spelling of 22302122032112 in words is "twenty-two trillion, three hundred two billion, one hundred twenty-two million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 269 524 538 1048 1076 1703 2096 2152 3406 3497 4304 6812 6994 13624 13988 27248 27976 35239 55952 70478 140956 281912 458107 563824 916214 1832428 3042701 3664856 6085402 7329712 12170804 24341608 39555113 48683216 79110226 158220452 316440904 398593831 632881808 797187662 818486569 1594375324 1636973138 3188750648 3273946276 5181719803 6377501296 6547892552 10363439606 10640325397 13095785104 20726879212 21280650794 41453758424 42561301588 82907516848 85122603176 107221740539 170245206352 214443481078 428886962156 857773924312 1393882627007 1715547848624 2787765254014 5575530508028 11151061016056 22302122032112