Search a number
-
+
20100002021220 = 223511907136124671
BaseRepresentation
bin1001001000111111001010…
…11110101111111101100100
32122011112121200220112111110
410210133211132233331210
510113304301004134340
6110425451412305020
74143114534126102
oct444374536577544
978145550815443
1020100002021220
11644a3aa153770
122307622012170
13b2a564350464
144d6bb9686c72
1524cca936e680
hex1247e57aff64

20100002021220 has 192 divisors, whose sum is σ = 61511715643392. Its totient is φ = 4863581952000.

The previous prime is 20100002021191. The next prime is 20100002021263. The reversal of 20100002021220 is 2212020000102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20100002021196 and 20100002021205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814709485 + ... + 814734155.

It is an arithmetic number, because the mean of its divisors is an integer number (320373518976).

Almost surely, 220100002021220 is an apocalyptic number.

20100002021220 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 20100002021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30755857821696).

20100002021220 is an abundant number, since it is smaller than the sum of its proper divisors (41411713622172).

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

20100002021220 is a wasteful number, since it uses less digits than its factorization.

20100002021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26962 (or 26960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20100002021220 its reverse (2212020000102), we get a palindrome (22312022021322).

The spelling of 20100002021220 in words is "twenty trillion, one hundred billion, two million, twenty-one thousand, two hundred twenty".