Search a number
-
+
10131222023 = 136711631713
BaseRepresentation
bin10010110111101111…
…00010111000000111
3222011001200101220022
421123313202320013
5131222043101043
64353151125355
7506026652306
oct113367427007
928131611808
1010131222023
1143298a106a
121b68b1385b
13c55c43240
146c176043d
153e467d868
hex25bde2e07

10131222023 has 8 divisors (see below), whose sum is σ = 11073391728. Its totient is φ = 9212315904.

The previous prime is 10131222001. The next prime is 10131222041. The reversal of 10131222023 is 32022213101.

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 10131222023 - 28 = 10131221767 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131221992 and 10131222010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131222053) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5814986 + ... + 5816727.

It is an arithmetic number, because the mean of its divisors is an integer number (1384173966).

Almost surely, 210131222023 is an apocalyptic number.

10131222023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10131222023 is a deficient number, since it is larger than the sum of its proper divisors (942169705).

10131222023 is a wasteful number, since it uses less digits than its factorization.

10131222023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631793.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10131222023 its reverse (32022213101), we get a palindrome (42153435124).

The spelling of 10131222023 in words is "ten billion, one hundred thirty-one million, two hundred twenty-two thousand, twenty-three".

Divisors: 1 13 67 871 11631713 151212269 779324771 10131222023