Search a number
-
+
123033121131 = 37128135497
BaseRepresentation
bin111001010010101011…
…0000111000101101011
3102202120101112010111010
41302211112013011223
54003432434334011
6132304242435003
711613606163104
oct1624526070553
9382511463433
10123033121131
11481a5a979a8
121ba17662a63
13b7a96c73bb
145d520d13ab
1533013dd1a6
hex1ca558716b

123033121131 has 12 divisors (see below), whose sum is σ = 166387205096. Its totient is φ = 80866830240.

The previous prime is 123033121103. The next prime is 123033121177. The reversal of 123033121131 is 131121330321.

It is a happy number.

It is not a de Polignac number, because 123033121131 - 234 = 105853251947 is a prime.

It is a super-2 number, since 2×1230331211312 (a number of 23 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 = 123033121098 and 123033121107.

It is not an unprimeable number, because it can be changed into a prime (123033121331) 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 11 ways as a sum of consecutive naturals, for example, 4052626 + ... + 4082871.

Almost surely, 2123033121131 is an apocalyptic number.

123033121131 is a deficient number, since it is larger than the sum of its proper divisors (43354083965).

123033121131 is an frugal number, since it uses more digits than its factorization.

123033121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135642 (or 8135571 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 123033121131 its reverse (131121330321), we get a palindrome (254154451452).

The spelling of 123033121131 in words is "one hundred twenty-three billion, thirty-three million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 71 213 5041 15123 8135497 24406491 577620287 1732860861 41011040377 123033121131