Search a number
-
+
22121113300 = 2252111331139359
BaseRepresentation
bin10100100110100001…
…010110011011010100
32010002122202222200121
4110212201112123110
5330301001111200
614055020121324
71412116234456
oct244641263324
963078688617
1022121113300
119421878920
124354396244
132116c78870
1410dbcaa2d6
158970a3e1a
hex5268566d4

22121113300 has 288 divisors, whose sum is σ = 58796236800. Its totient is φ = 7114176000.

The previous prime is 22121113291. The next prime is 22121113307. The reversal of 22121113300 is 331112122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121113307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61618521 + ... + 61618879.

It is an arithmetic number, because the mean of its divisors is an integer number (204153600).

Almost surely, 222121113300 is an apocalyptic number.

22121113300 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 22121113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398118400).

22121113300 is an abundant number, since it is smaller than the sum of its proper divisors (36675123500).

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

22121113300 is a wasteful number, since it uses less digits than its factorization.

22121113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22121113300 its reverse (331112122), we get a palindrome (22452225422).

The spelling of 22121113300 in words is "twenty-two billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred".