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22100100000 = 253551137181
BaseRepresentation
bin10100100101010001…
…001100001110100000
32010001012020101212020
4110211101030032200
5330230111200000
614052545501440
71411442515266
oct244521141640
963035211766
1022100100000
119410a26260
124349341880
1321127cc164
1410d919a436
15895302ba0
hex52544c3a0

22100100000 has 576 divisors, whose sum is σ = 81690021504. Its totient is φ = 5184000000.

The previous prime is 22100099993. The next prime is 22100100047. The reversal of 22100100000 is 100122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122099910 + ... + 122100090.

It is an arithmetic number, because the mean of its divisors is an integer number (141822954).

Almost surely, 222100100000 is an apocalyptic number.

22100100000 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 22100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40845010752).

22100100000 is an abundant number, since it is smaller than the sum of its proper divisors (59589921504).

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

22100100000 is a wasteful number, since it uses less digits than its factorization.

22100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 22100100000 its reverse (100122), we get a palindrome (22100200122).

The spelling of 22100100000 in words is "twenty-two billion, one hundred million, one hundred thousand".