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22001100210012 = 22371131185638941
BaseRepresentation
bin1010000000010100001111…
…10000110011111101011100
32212220021200111112211000210
411000022013300303331130
510340431223123210022
6114443055500252420
74430345526116220
oct500120760637534
985807614484023
1022001100210012
1170126835569a0
122573b63b41110
13c37905770541
14560c04ca2780
1528247473ba0c
hex140287c33f5c

22001100210012 has 192 divisors, whose sum is σ = 64223679356928. Its totient is φ = 5694894432000.

The previous prime is 22001100209987. The next prime is 22001100210043. The reversal of 22001100210012 is 21001200110022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 22001100210012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2460693462 + ... + 2460702402.

It is an arithmetic number, because the mean of its divisors is an integer number (334498329984).

Almost surely, 222001100210012 is an apocalyptic number.

22001100210012 is a gapful number since it is divisible by the number (22) 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 22001100210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32111839678464).

22001100210012 is an abundant number, since it is smaller than the sum of its proper divisors (42222579146916).

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

22001100210012 is a wasteful number, since it uses less digits than its factorization.

22001100210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17840 (or 17838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22001100210012 its reverse (21001200110022), we get a palindrome (43002300320034).

The spelling of 22001100210012 in words is "twenty-two trillion, one billion, one hundred million, two hundred ten thousand, twelve".