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123332113431 = 333723379901
BaseRepresentation
bin111001011011100101…
…0101011010000010111
3102210100020010111211000
41302313022223100113
54010041010112211
6132354043114343
711624166444552
oct1626712532027
9383306114730
10123332113431
114833984327a
121ba9b8129b3
13b826631617
145d7dac1699
15331c79d656
hex1cb72ab417

123332113431 has 48 divisors (see below), whose sum is σ = 188362181280. Its totient is φ = 79753766400.

The previous prime is 123332113379. The next prime is 123332113453. The reversal of 123332113431 is 134311233321.

123332113431 is a `hidden beast` number, since 12 + 3 + 3 + 3 + 211 + 3 + 431 = 666.

It is not a de Polignac number, because 123332113431 - 217 = 123331982359 is a prime.

It is a super-2 number, since 2×1233321134312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123332113395 and 123332113404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123332113481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12451581 + ... + 12461481.

It is an arithmetic number, because the mean of its divisors is an integer number (3924212110).

Almost surely, 2123332113431 is an apocalyptic number.

123332113431 is a deficient number, since it is larger than the sum of its proper divisors (65030067849).

123332113431 is an equidigital number, since it uses as much as digits as its factorization.

123332113431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10278 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 123332113431 its reverse (134311233321), we get a palindrome (257643346752).

It can be divided in two parts, 12333 and 2113431, that added together give a square (2125764 = 14582).

The spelling of 123332113431 in words is "one hundred twenty-three billion, three hundred thirty-two million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 337 999 1011 1369 3033 4107 9099 9901 12321 12469 29703 36963 37407 89109 112221 267327 336663 366337 461353 1099011 1384059 3297033 3336637 4152177 9891099 10009911 12456531 13554469 30029733 40663407 90089199 121990221 123455569 365970663 370366707 1111100121 3333300363 4567856053 13703568159 41110704477 123332113431