Search a number
-
+
22010113020000 = 253547236720399
BaseRepresentation
bin1010000000100101000001…
…11101111101000001100000
32212221010221121202000001010
411000102200331331001200
510341103202413120000
6114451150100140520
74431115055542200
oct500224075750140
985833847660033
1022010113020000
117016488aa7496
12257585a397740
13c38710a873c1
1456141bc90400
15282800ae8d50
hex1404a0f7d060

22010113020000 has 720 divisors, whose sum is σ = 84217901644800. Its totient is φ = 5016928896000.

The previous prime is 22010113019981. The next prime is 22010113020053. The reversal of 22010113020000 is 2031101022.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1078969801 + ... + 1078990199.

It is an arithmetic number, because the mean of its divisors is an integer number (116969307840).

Almost surely, 222010113020000 is an apocalyptic number.

22010113020000 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 22010113020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42108950822400).

22010113020000 is an abundant number, since it is smaller than the sum of its proper divisors (62207788624800).

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

22010113020000 is a wasteful number, since it uses less digits than its factorization.

22010113020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20813 (or 20783 counting only the distinct ones).

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

Adding to 22010113020000 its reverse (2031101022), we get a palindrome (22012144121022).

The spelling of 22010113020000 in words is "twenty-two trillion, ten billion, one hundred thirteen million, twenty thousand".