Search a number
-
+
2123223311322 = 232237516828973
BaseRepresentation
bin11110111001011001111…
…110001010001111011010
321111222102002020122100100
4132321121332022033122
5234241330131430242
64303221220120230
7306253311240411
oct36713176121732
97458362218310
102123223311322
117494aa230463
122a35b3236076
131252b048c939
1474a9bd2c478
153a36ae3854c
hex1ee59f8a3da

2123223311322 has 48 divisors (see below), whose sum is σ = 4806723587328. Its totient is φ = 676068228000.

The previous prime is 2123223311311. The next prime is 2123223311399. The reversal of 2123223311322 is 2231133223212.

2123223311322 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 2 + 331 + 1 + 322 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3103573 + ... + 3725400.

It is an arithmetic number, because the mean of its divisors is an integer number (100140074736).

Almost surely, 22123223311322 is an apocalyptic number.

2123223311322 is an abundant number, since it is smaller than the sum of its proper divisors (2683500276006).

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

2123223311322 is a wasteful number, since it uses less digits than its factorization.

2123223311322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829755 (or 6829752 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2123223311322 its reverse (2231133223212), we get a palindrome (4354356534534).

The spelling of 2123223311322 in words is "two trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 751 1502 2253 4506 6759 13518 17273 34546 51819 103638 155457 310914 6828973 13657946 20486919 40973838 61460757 122921514 157066379 314132758 471199137 942398274 1413597411 2827194822 5128558723 10257117446 15385676169 30771352338 46157028507 92314057014 117956850629 235913701258 353870551887 707741103774 1061611655661 2123223311322