Search a number
-
+
112131322310031 = 3138247270364691
BaseRepresentation
bin11001011111101110011011…
…101000100110110110001111
3112201000122112122111012001120
4121133232123220212312033
5104144124422002410111
61034252230205412023
732422135461322353
oct3137563350466617
9481018478435046
10112131322310031
1132801699206212
12106ab974b6a013
134a74c2765700b
141d99283747463
15ce6bd669e406
hex65fb9ba26d8f

112131322310031 has 8 divisors (see below), whose sum is σ = 149509511758464. Its totient is φ = 74753673867480.

The previous prime is 112131322310017. The next prime is 112131322310039. The reversal of 112131322310031 is 130013223131211.

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

It is not a de Polignac number, because 112131322310031 - 25 = 112131322309999 is a prime.

It is a super-2 number, since 2×1121313223100312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112131322309983 and 112131322310010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131322310039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134767605 + ... + 135597086.

It is an arithmetic number, because the mean of its divisors is an integer number (18688688969808).

Almost surely, 2112131322310031 is an apocalyptic number.

112131322310031 is a deficient number, since it is larger than the sum of its proper divisors (37378189448433).

112131322310031 is a wasteful number, since it uses less digits than its factorization.

112131322310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270502941.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 112131322310031 its reverse (130013223131211), we get a palindrome (242144545441242).

The spelling of 112131322310031 in words is "one hundred twelve trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred ten thousand, thirty-one".

Divisors: 1 3 138247 414741 270364691 811094073 37377107436677 112131322310031