Search a number
-
+
123105131124 = 22310258760927
BaseRepresentation
bin111001010100110100…
…0110011101001110100
3102202202102000121121220
41302221220303221310
54004104403143444
6132315334110340
711615442230553
oct1625150635164
9382672017556
10123105131124
1148232701098
121ba377ab3b0
13b7bb5baa71
145d5b8b7d9a
1533078b4619
hex1ca9a33a74

123105131124 has 12 divisors (see below), whose sum is σ = 287245305984. Its totient is φ = 41035043704.

The previous prime is 123105131099. The next prime is 123105131137. The reversal of 123105131124 is 421131501321.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 123105131094 and 123105131103.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5129380452 + ... + 5129380475.

It is an arithmetic number, because the mean of its divisors is an integer number (23937108832).

Almost surely, 2123105131124 is an apocalyptic number.

It is an amenable number.

123105131124 is an abundant number, since it is smaller than the sum of its proper divisors (164140174860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123105131124 is a wasteful number, since it uses less digits than its factorization.

123105131124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10258760934 (or 10258760932 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 123105131124 its reverse (421131501321), we get a palindrome (544236632445).

The spelling of 123105131124 in words is "one hundred twenty-three billion, one hundred five million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 10258760927 20517521854 30776282781 41035043708 61552565562 123105131124