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22120111000 = 23531317101991
BaseRepresentation
bin10100100110011101…
…100001101110011000
32010002120220001210101
4110212131201232120
5330300222023000
614054542425144
71412104561351
oct244635415630
963076801711
1022120111000
119421253879
124353b921b4
1321169b75a0
1410dbac8d28
15896e56e6a
hex526761b98

22120111000 has 256 divisors, whose sum is σ = 59666181120. Its totient is φ = 7603200000.

The previous prime is 22120110877. The next prime is 22120111007. The reversal of 22120111000 is 11102122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120111007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22320505 + ... + 22321495.

It is an arithmetic number, because the mean of its divisors is an integer number (233071020).

Almost surely, 222120111000 is an apocalyptic number.

22120111000 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 22120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29833090560).

22120111000 is an abundant number, since it is smaller than the sum of its proper divisors (37546070120).

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

22120111000 is a wasteful number, since it uses less digits than its factorization.

22120111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22120111000 its reverse (11102122), we get a palindrome (22131213122).

The spelling of 22120111000 in words is "twenty-two billion, one hundred twenty million, one hundred eleven thousand".