Search a number
-
+
22010112111000 = 233531331313191367
BaseRepresentation
bin1010000000100101000001…
…11010011111000110011000
32212221010221120000211010110
411000102200322133012120
510341103202200023000
6114451150024444320
74431115045035066
oct500224072370630
985833846024113
1022010112111000
117016488536552
12257585a0196a0
13c38710829730
1456141bad5036
152828009b9850
hex1404a0e9f198

22010112111000 has 512 divisors, whose sum is σ = 74300812185600. Its totient is φ = 5392522137600.

The previous prime is 22010112110963. The next prime is 22010112111019. The reversal of 22010112111000 is 11121101022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16101032317 + ... + 16101033683.

It is an arithmetic number, because the mean of its divisors is an integer number (145118773800).

Almost surely, 222010112111000 is an apocalyptic number.

22010112111000 is a gapful number since it is divisible by the number (20) 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 22010112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37150406092800).

22010112111000 is an abundant number, since it is smaller than the sum of its proper divisors (52290700074600).

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

22010112111000 is a wasteful number, since it uses less digits than its factorization.

22010112111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22010112111000 its reverse (11121101022), we get a palindrome (22021233212022).

The spelling of 22010112111000 in words is "twenty-two trillion, ten billion, one hundred twelve million, one hundred eleven thousand".