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22103310000 = 243543123767
BaseRepresentation
bin10100100101011101…
…011011111010110000
32010001102021111011010
4110211131123322300
5330231421410000
614053142350520
71411512015012
oct244535337260
963042244133
1022103310000
119412818a52
12434a42b440
132113384275
1410d97941b2
15895738d50
hex52575beb0

22103310000 has 200 divisors, whose sum is σ = 73657222144. Its totient is φ = 5703840000.

The previous prime is 22103309993. The next prime is 22103310059. The reversal of 22103310000 is 1330122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×221033100002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 918117 + ... + 941883.

Almost surely, 222103310000 is an apocalyptic number.

22103310000 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 22103310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828611072).

22103310000 is an abundant number, since it is smaller than the sum of its proper divisors (51553912144).

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

22103310000 is a wasteful number, since it uses less digits than its factorization.

22103310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23829 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22103310000 its reverse (1330122), we get a palindrome (22104640122).

The spelling of 22103310000 in words is "twenty-two billion, one hundred three million, three hundred ten thousand".