Search a number
-
+
22013121000 = 23353133891451
BaseRepresentation
bin10100100000000101…
…011001000111101000
32002211010120102002210
4110200011121013220
5330040324333000
614040201325120
71406335304223
oct244005310750
962733512083
1022013121000
119376918692
1243241967a0
1320ca7972b0
1410cb7d85ba
1588c871350
hex5201591e8

22013121000 has 256 divisors, whose sum is σ = 74205331200. Its totient is φ = 5400960000.

The previous prime is 22013120999. The next prime is 22013121017. The reversal of 22013121000 is 12131022.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15170275 + ... + 15171725.

It is an arithmetic number, because the mean of its divisors is an integer number (289864575).

Almost surely, 222013121000 is an apocalyptic number.

22013121000 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 22013121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37102665600).

22013121000 is an abundant number, since it is smaller than the sum of its proper divisors (52192210200).

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

22013121000 is a wasteful number, since it uses less digits than its factorization.

22013121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22013121000 its reverse (12131022), we get a palindrome (22025252022).

The spelling of 22013121000 in words is "twenty-two billion, thirteen million, one hundred twenty-one thousand".