Search a number
-
+
20112220001220 = 223543100910517351
BaseRepresentation
bin1001001001010101111011…
…01110101001001111000100
32122012201011012012020012020
410210222331232221033010
510114004311310014340
6110435232030123140
74144026363214044
oct444527556511704
978181135166166
1020112220001220
1164545a99589a6
122309a719504b0
13b2b7606c6119
144d7618207724
1524d271ceb9d0
hex124abdba93c4

20112220001220 has 192 divisors, whose sum is σ = 57743694919680. Its totient is φ = 5227649280000.

The previous prime is 20112220001189. The next prime is 20112220001261. The reversal of 20112220001220 is 2210002221102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20112220001220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735980545 + ... + 2735987895.

It is an arithmetic number, because the mean of its divisors is an integer number (300748411040).

Almost surely, 220112220001220 is an apocalyptic number.

20112220001220 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 20112220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28871847459840).

20112220001220 is an abundant number, since it is smaller than the sum of its proper divisors (37631474918460).

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

20112220001220 is a wasteful number, since it uses less digits than its factorization.

20112220001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20112220001220 its reverse (2210002221102), we get a palindrome (22322222222322).

The spelling of 20112220001220 in words is "twenty trillion, one hundred twelve billion, two hundred twenty million, one thousand, two hundred twenty".