Search a number
-
+
123111424431 = 32116189117731
BaseRepresentation
bin111001010101000000…
…0110100000110101111
3102202202211212100102100
41302222000310012233
54004113011040211
6132320121030143
711615546561442
oct1625200640657
9382684770370
10123111424431
114823620a376
121ba39925353
13b7bc9b2408
145d5c675659
153308209156
hex1caa0341af

123111424431 has 12 divisors (see below), whose sum is σ = 177830654040. Its totient is φ = 82072879440.

The previous prime is 123111424427. The next prime is 123111424441. The reversal of 123111424431 is 134424111321.

It is a happy number.

123111424431 is a `hidden beast` number, since 1 + 231 + 1 + 1 + 424 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 123111424431 - 22 = 123111424427 is a prime.

It is a super-2 number, since 2×1231114244312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123111424395 and 123111424404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123111424441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986836 + ... + 1104566.

It is an arithmetic number, because the mean of its divisors is an integer number (14819221170).

Almost surely, 2123111424431 is an apocalyptic number.

123111424431 is a deficient number, since it is larger than the sum of its proper divisors (54719229609).

123111424431 is a wasteful number, since it uses less digits than its factorization.

123111424431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233926 (or 233923 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 123111424431 its reverse (134424111321), we get a palindrome (257535535752).

The spelling of 123111424431 in words is "one hundred twenty-three billion, one hundred eleven million, four hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 116189 117731 348567 353193 1045701 1059579 13679047159 41037141477 123111424431