Search a number
-
+
10131322031 = 89263432833
BaseRepresentation
bin10010110111101111…
…11011010010101111
3222011001212111002022
421123313323102233
5131222104301111
64353153220355
7506030550005
oct113367732257
928131774068
1010131322031
11432995a216
121b68b616bb
13c55c7990c
146c1788a75
153e469d2db
hex25bdfb4af

10131322031 has 8 divisors (see below), whose sum is σ = 10284135840. Its totient is φ = 9979374592.

The previous prime is 10131322001. The next prime is 10131322093. The reversal of 10131322031 is 13022313101.

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 10131322031 - 222 = 10127127727 is a prime.

It is a super-2 number, since 2×101313220312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131322001) 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, 193010 + ... + 239823.

It is an arithmetic number, because the mean of its divisors is an integer number (1285516980).

Almost surely, 210131322031 is an apocalyptic number.

10131322031 is a deficient number, since it is larger than the sum of its proper divisors (152813809).

10131322031 is an equidigital number, since it uses as much as digits as its factorization.

10131322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433185.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10131322031 its reverse (13022313101), we get a palindrome (23153635132).

The spelling of 10131322031 in words is "ten billion, one hundred thirty-one million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 89 263 23407 432833 38522137 113835079 10131322031