Search a number
-
+
10131433131 = 37942748663
BaseRepresentation
bin10010110111110000…
…10110011010101011
3222011002002010111010
421123320112122223
5131222121330011
64353155435003
7506031521631
oct113370263253
928132063433
1010131433131
114329a25736
121b68bb5a63
13c55cb8361
146c17b7351
153e46c11a6
hex25be166ab

10131433131 has 8 divisors (see below), whose sum is σ = 13679572480. Its totient is φ = 6668791272.

The previous prime is 10131433121. The next prime is 10131433153. The reversal of 10131433131 is 13133413101.

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

It is not a de Polignac number, because 10131433131 - 210 = 10131432107 is a prime.

It is a super-2 number, since 2×101314331312 (a number of 21 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 = 10131433098 and 10131433107.

It is not an unprimeable number, because it can be changed into a prime (10131433121) 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, 21374095 + ... + 21374568.

It is an arithmetic number, because the mean of its divisors is an integer number (1709946560).

Almost surely, 210131433131 is an apocalyptic number.

10131433131 is a deficient number, since it is larger than the sum of its proper divisors (3548139349).

10131433131 is an equidigital number, since it uses as much as digits as its factorization.

10131433131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42748745.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10131433131 its reverse (13133413101), we get a palindrome (23264846232).

The spelling of 10131433131 in words is "ten billion, one hundred thirty-one million, four hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 79 237 42748663 128245989 3377144377 10131433131