Search a number
-
+
10110204131 = 731011499203
BaseRepresentation
bin10010110101001110…
…10111100011100011
3222002121010120202212
421122213113203203
5131201203013011
64351120432335
7505353213536
oct113247274343
928077116685
1010110204131
114318a46005
121b61a786ab
13c51794711
146bca4ca1d
153e28cb08b
hex25a9d78e3

10110204131 has 16 divisors (see below), whose sum is σ = 10420768800. Its totient is φ = 9805651200.

The previous prime is 10110204119. The next prime is 10110204151. The reversal of 10110204131 is 13140201101.

It is a cyclic number.

It is not a de Polignac number, because 10110204131 - 26 = 10110204067 is a prime.

It is a super-2 number, since 2×101102041312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110204151) 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 15 ways as a sum of consecutive naturals, for example, 1093976 + ... + 1103178.

It is an arithmetic number, because the mean of its divisors is an integer number (651298050).

Almost surely, 210110204131 is an apocalyptic number.

10110204131 is a deficient number, since it is larger than the sum of its proper divisors (310564669).

10110204131 is a wasteful number, since it uses less digits than its factorization.

10110204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10110204131 its reverse (13140201101), we get a palindrome (23250405232).

The spelling of 10110204131 in words is "ten billion, one hundred ten million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 73 101 149 7373 9203 10877 15049 671819 929503 1098577 1371247 67853719 100101031 138495947 10110204131