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2120231322 = 2331110733359
BaseRepresentation
bin111111001100000…
…0010100110011010
312110202120220121000
41332120002212122
513320234400242
6550215525430
7103353445266
oct17630024632
95422526530
102120231322
119988a71a0
124b2089876
1327a352661
141618350a6
15c6211a4c
hex7e60299a

2120231322 has 64 divisors (see below), whose sum is σ = 5188147200. Its totient is φ = 636470640.

The previous prime is 2120231297. The next prime is 2120231327. The reversal of 2120231322 is 2231320212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120231295 and 2120231304.

It is not an unprimeable number, because it can be changed into a prime (2120231327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46879 + ... + 80237.

It is an arithmetic number, because the mean of its divisors is an integer number (81064800).

Almost surely, 22120231322 is an apocalyptic number.

2120231322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120231322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594073600).

2120231322 is an abundant number, since it is smaller than the sum of its proper divisors (3067915878).

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

2120231322 is a wasteful number, since it uses less digits than its factorization.

2120231322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33488 (or 33482 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2120231322 is about 46045.9696607640. The cubic root of 2120231322 is about 1284.6783798440.

Adding to 2120231322 its reverse (2231320212), we get a palindrome (4351551534).

The spelling of 2120231322 in words is "two billion, one hundred twenty million, two hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 107 198 214 297 321 594 642 963 1177 1926 2354 2889 3531 5778 7062 10593 21186 31779 33359 63558 66718 100077 200154 300231 366949 600462 733898 900693 1100847 1801386 2201694 3302541 3569413 6605082 7138826 9907623 10708239 19815246 21416478 32124717 39263543 64249434 78527086 96374151 117790629 192748302 235581258 353371887 706743774 1060115661 2120231322