Search a number
-
+
123302022021 = 32181409318493
BaseRepresentation
bin111001011010101011…
…1111000101110000101
3102210021010111201011100
41302311113320232011
54010010304201041
6132351050130313
711623352615523
oct1626527705605
9383233451140
10123302022021
1148323860142
121ba91720999
13b820326b59
145d79acb313
153319d076b6
hex1cb55f8b85

123302022021 has 24 divisors (see below), whose sum is σ = 179140355576. Its totient is φ = 81722805120.

The previous prime is 123302022007. The next prime is 123302022037. The reversal of 123302022021 is 120220203321.

123302022021 is a `hidden beast` number, since 123 + 302 + 0 + 220 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181037025 + 123120984996 = 13455^2 + 350886^2 .

It is not a de Polignac number, because 123302022021 - 27 = 123302021893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123302021985 and 123302022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123302022061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6658251 + ... + 6676743.

Almost surely, 2123302022021 is an apocalyptic number.

It is an amenable number.

123302022021 is a deficient number, since it is larger than the sum of its proper divisors (55838333555).

123302022021 is a wasteful number, since it uses less digits than its factorization.

123302022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22773 (or 22770 counting only the distinct ones).

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

Adding to 123302022021 its reverse (120220203321), we get a palindrome (243522225342).

The spelling of 123302022021 in words is "one hundred twenty-three billion, three hundred two million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 181 543 1629 4093 12279 18493 36837 55479 166437 740833 2222499 3347233 6667497 10041699 30125097 75691849 227075547 681226641 13700224669 41100674007 123302022021