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2010231032320 = 29571915973697
BaseRepresentation
bin11101010000001011000…
…110110100101000000000
321010011202110100010212001
4131100023012310220000
5230413423121013240
64135253135313344
7265143253562440
oct35201306645000
97104673303761
102010231032320
117055970138a5
1228571a37b854
13117744082954
146d41d592120
15374562c489a
hex1d40b1b4a00

2010231032320 has 320 divisors, whose sum is σ = 5803507480320. Its totient is φ = 652361859072.

The previous prime is 2010231032287. The next prime is 2010231032387. The reversal of 2010231032320 is 232301320102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543744712 + ... + 543748408.

It is an arithmetic number, because the mean of its divisors is an integer number (18135960876).

Almost surely, 22010231032320 is an apocalyptic number.

2010231032320 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 2010231032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901753740160).

2010231032320 is an abundant number, since it is smaller than the sum of its proper divisors (3793276448000).

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

2010231032320 is a wasteful number, since it uses less digits than its factorization.

2010231032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2010231032320 its reverse (232301320102), we get a palindrome (2242532352422).

The spelling of 2010231032320 in words is "two trillion, ten billion, two hundred thirty-one million, thirty-two thousand, three hundred twenty".