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123131320031 = 1272813450313
BaseRepresentation
bin111001010101100110…
…0101101011011011111
3102202211020022011001102
41302223030231123133
54004133104220111
6132322111303315
711616210644216
oct1625314553337
9382736264042
10123131320031
1148246469215
121ba4451ab3b
13b7c3b5a165
145d6117407d
153309d3913b
hex1cab32d6df

123131320031 has 8 divisors (see below), whose sum is σ = 124542534144. Its totient is φ = 121727007360.

The previous prime is 123131319989. The next prime is 123131320043. The reversal of 123131320031 is 130023131321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123131320031 - 222 = 123127125727 is a prime.

It is a super-2 number, since 2×1231313200312 (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 = 123131319985 and 123131320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131320051) 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 7 ways as a sum of consecutive naturals, for example, 1689470 + ... + 1760843.

It is an arithmetic number, because the mean of its divisors is an integer number (15567816768).

Almost surely, 2123131320031 is an apocalyptic number.

123131320031 is a deficient number, since it is larger than the sum of its proper divisors (1411214113).

123131320031 is a wasteful number, since it uses less digits than its factorization.

123131320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450721.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123131320031 its reverse (130023131321), we get a palindrome (253154451352).

The spelling of 123131320031 in words is "one hundred twenty-three billion, one hundred thirty-one million, three hundred twenty thousand, thirty-one".

Divisors: 1 127 281 35687 3450313 438189751 969537953 123131320031