Search a number
-
+
123332020212231 = 334567852600453
BaseRepresentation
bin11100000010101101111001…
…010000010001001000000111
3121011200102111112122122201000
4130002231321100101020013
5112131132434133242411
61114145540425504343
734656305301526215
oct3402557120211007
9534612445578630
10123332020212231
113632a8a81725a6
12119ba6a40420b3
1353a820c8537cc
14226543194dcb5
15e3d2376d8956
hex702b79411207

123332020212231 has 8 divisors (see below), whose sum is σ = 182714104018160. Its totient is φ = 82221346808136.

The previous prime is 123332020212187. The next prime is 123332020212281. The reversal of 123332020212231 is 132212020233321.

123332020212231 is a `hidden beast` number, since 1 + 2 + 3 + 332 + 0 + 202 + 122 + 3 + 1 = 666.

It is not a de Polignac number, because 123332020212231 - 210 = 123332020211207 is a prime.

It is a super-2 number, since 2×1233320202122312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4567852600453 = 123332020212231 / (1 + 2 + 3 + 3 + 3 + 2 + 0 + 2 + 0 + 2 + 1 + 2 + 2 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123332020212195 and 123332020212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123332020212281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2283926300200 + ... + 2283926300253.

It is an arithmetic number, because the mean of its divisors is an integer number (22839263002270).

Almost surely, 2123332020212231 is an apocalyptic number.

123332020212231 is a deficient number, since it is larger than the sum of its proper divisors (59382083805929).

123332020212231 is an equidigital number, since it uses as much as digits as its factorization.

123332020212231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567852600462 (or 4567852600456 counting only the distinct ones).

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

Adding to 123332020212231 its reverse (132212020233321), we get a palindrome (255544040445552).

The spelling of 123332020212231 in words is "one hundred twenty-three trillion, three hundred thirty-two billion, twenty million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 27 4567852600453 13703557801359 41110673404077 123332020212231