Search a number
-
+
123200044331 = 72132772932383
BaseRepresentation
bin111001010111101001…
…0110111110100101011
3102210000000121201001212
41302233102313310223
54004303202404311
6132333004303335
711621004045500
oct1625722676453
9383000551055
10123200044331
1148281238861
121ba63541b4b
13b805170120
145d6a3434a7
153310db1c8b
hex1caf4b7d2b

123200044331 has 48 divisors (see below), whose sum is σ = 155489572224. Its totient is φ = 96752952576.

The previous prime is 123200044273. The next prime is 123200044343. The reversal of 123200044331 is 133440002321.

It is not a de Polignac number, because 123200044331 - 26 = 123200044267 is a prime.

It is a super-2 number, since 2×1232000443312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123200044297 and 123200044306.

It is not an unprimeable number, because it can be changed into a prime (123200044351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51698366 + ... + 51700748.

It is an arithmetic number, because the mean of its divisors is an integer number (3239366088).

Almost surely, 2123200044331 is an apocalyptic number.

123200044331 is a deficient number, since it is larger than the sum of its proper divisors (32289527893).

123200044331 is a wasteful number, since it uses less digits than its factorization.

123200044331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 123200044331 its reverse (133440002321), we get a palindrome (256640046652).

The spelling of 123200044331 in words is "one hundred twenty-three billion, two hundred million, forty-four thousand, three hundred thirty-one".

Divisors: 1 7 13 49 91 277 293 637 1939 2051 2383 3601 3809 13573 14357 16681 25207 26663 30979 81161 116767 176449 186641 216853 568127 660091 698219 1055093 1517971 3976889 4620637 4887533 7385651 8581183 9076847 32344459 34212731 51699557 60068281 63537929 193406663 420477967 444765503 1353846641 2514286619 9476926487 17600006333 123200044331