Search a number
-
+
123022233140441 = 5373457199734841
BaseRepresentation
bin11011111110001101011000…
…100000010111110011011001
3121010120210212221121212102112
4123332031120200113303121
5112111044013140443231
61113351344513442105
734625030423052545
oct3376153040276331
9533523787555375
10123022233140441
1136220488474418
121196a648b70335
135384c4019a37b
142254444a74a25
15e35155bcb92b
hex6fe358817cd9

123022233140441 has 32 divisors (see below), whose sum is σ = 127405893485088. Its totient is φ = 118724231208960.

The previous prime is 123022233140437. The next prime is 123022233140461. The reversal of 123022233140441 is 144041332220321.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 33793050086041 + 89229183054400 = 5813179^2 + 9446120^2 .

It is a cyclic number.

It is not a de Polignac number, because 123022233140441 - 22 = 123022233140437 is a prime.

It is a super-2 number, since 2×1230222331404412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123022233140398 and 123022233140407.

It is not an unprimeable number, because it can be changed into a prime (123022233140461) 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, 3530944181 + ... + 3530979021.

It is an arithmetic number, because the mean of its divisors is an integer number (3981434171409).

Almost surely, 2123022233140441 is an apocalyptic number.

It is an amenable number.

123022233140441 is a deficient number, since it is larger than the sum of its proper divisors (4383660344647).

123022233140441 is a wasteful number, since it uses less digits than its factorization.

123022233140441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37421.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 123022233140441 its reverse (144041332220321), we get a palindrome (267063565360762).

The spelling of 123022233140441 in words is "one hundred twenty-three trillion, twenty-two billion, two hundred thirty-three million, one hundred forty thousand, four hundred forty-one".

Divisors: 1 53 73 457 1997 3869 24221 33361 34841 105841 145781 912629 1768133 1846573 2543393 7726393 15922337 48369337 66621917 69577477 134799829 843883861 1162330601 3530961601 3687606281 5079155821 31796906989 61603521853 269195258513 1685236070417 2321174210197 123022233140441