Search a number
-
+
22021200011100 = 223521910938539199
BaseRepresentation
bin1010000000111001101011…
…10011011101111101011100
32212222012120021212111122010
411000130311303131331130
510341243404200323400
6114500222152551220
74431656602446333
oct500346563357534
985865507774563
1022021200011100
117020158350a54
122577a333b2510
13c39789a1c274
14561b90526d1a
15282c4e11d450
hex140735cddf5c

22021200011100 has 288 divisors, whose sum is σ = 67708305280000. Its totient is φ = 5510181841920.

The previous prime is 22021200011099. The next prime is 22021200011101. The reversal of 22021200011100 is 111000212022.

It is an interprime number because it is at equal distance from previous prime (22021200011099) and next prime (22021200011101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021200011101) 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, 2393864301 + ... + 2393873499.

Almost surely, 222021200011100 is an apocalyptic number.

22021200011100 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 22021200011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33854152640000).

22021200011100 is an abundant number, since it is smaller than the sum of its proper divisors (45687105268900).

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

22021200011100 is a wasteful number, since it uses less digits than its factorization.

22021200011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13197 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22021200011100 its reverse (111000212022), we get a palindrome (22132200223122).

The spelling of 22021200011100 in words is "twenty-two trillion, twenty-one billion, two hundred million, eleven thousand, one hundred".