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22110110000 = 2454111971149
BaseRepresentation
bin10100100101110111…
…011000000100110000
32010001220001221222222
4110211313120010300
5330240142010000
614053544220212
71411623556046
oct244567300460
963056057888
1022110110000
119416642990
12435076a668
1321148c5434
1410da644396
1589612da85
hex525dd8130

22110110000 has 400 divisors, whose sum is σ = 62754912000. Its totient is φ = 7459200000.

The previous prime is 22110109997. The next prime is 22110110003. The reversal of 22110110000 is 1101122.

It is an interprime number because it is at equal distance from previous prime (22110109997) and next prime (22110110003).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22110110000.

It is not an unprimeable number, because it can be changed into a prime (22110110003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148389926 + ... + 148390074.

It is an arithmetic number, because the mean of its divisors is an integer number (156887280).

Almost surely, 222110110000 is an apocalyptic number.

22110110000 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 22110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31377456000).

22110110000 is an abundant number, since it is smaller than the sum of its proper divisors (40644802000).

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

22110110000 is a wasteful number, since it uses less digits than its factorization.

22110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22110110000 its reverse (1101122), we get a palindrome (22111211122).

The spelling of 22110110000 in words is "twenty-two billion, one hundred ten million, one hundred ten thousand".