Search a number
-
+
2300321120020 = 22572111723545749
BaseRepresentation
bin100001011110010101110…
…100101011111100010100
322010220112100000110120021
4201132111310223330110
5300142024201320040
64520430344514524
7325123046622400
oct41362564537424
98126470013507
102300321120020
11807619337330
12311998a7ba44
13138bc4a76c11
147d49c502100
153ec8396d24a
hex21795d2bf14

2300321120020 has 288 divisors, whose sum is σ = 6773028192000. Its totient is φ = 645467074560.

The previous prime is 2300321119979. The next prime is 2300321120063. The reversal of 2300321120020 is 200211230032.

It is a junction number, because it is equal to n+sod(n) for n = 2300321119976 and 2300321120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3942106 + ... + 4487854.

It is an arithmetic number, because the mean of its divisors is an integer number (23517459000).

Almost surely, 22300321120020 is an apocalyptic number.

2300321120020 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 2300321120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386514096000).

2300321120020 is an abundant number, since it is smaller than the sum of its proper divisors (4472707071980).

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

2300321120020 is a wasteful number, since it uses less digits than its factorization.

2300321120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545823 (or 545814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2300321120020 its reverse (200211230032), we get a palindrome (2500532350052).

The spelling of 2300321120020 in words is "two trillion, three hundred billion, three hundred twenty-one million, one hundred twenty thousand, twenty".