Search a number
-
+
2120002201020 = 22351123559124979
BaseRepresentation
bin11110110110011001111…
…110100110010110111100
321111200002121011021200210
4132312121332212112330
5234213231030413040
64301525432352420
7306110426245314
oct36663176462674
97450077137623
102120002201020
117480a6a79630
122a2a54545710
13124bb903c502
147487420a444
153a22d26a480
hex1ed99fa65bc

2120002201020 has 192 divisors, whose sum is σ = 6758671933440. Its totient is φ = 491487110400.

The previous prime is 2120002201003. The next prime is 2120002201033. The reversal of 2120002201020 is 201022000212.

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 = 2120002200987 and 2120002201005.

It is a congruent number.

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, 84858891 + ... + 84883869.

It is an arithmetic number, because the mean of its divisors is an integer number (35201416320).

Almost surely, 22120002201020 is an apocalyptic number.

2120002201020 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 2120002201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379335966720).

2120002201020 is an abundant number, since it is smaller than the sum of its proper divisors (4638669732420).

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

2120002201020 is a wasteful number, since it uses less digits than its factorization.

2120002201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30616 (or 30614 counting only the distinct ones).

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

Adding to 2120002201020 its reverse (201022000212), we get a palindrome (2321024201232).

The spelling of 2120002201020 in words is "two trillion, one hundred twenty billion, two million, two hundred one thousand, twenty".