Search a number
-
+
10131123011 = 731372114801
BaseRepresentation
bin10010110111101110…
…01010101101000011
3222011001111101002012
421123313022231003
5131222031414021
64353145043135
7506026060532
oct113367125503
928131441065
1010131123011
114329833739
121b68a864ab
13c55c0a159
146c1736319
153e465e35b
hex25bdcab43

10131123011 has 16 divisors (see below), whose sum is σ = 10396061088. Its totient is φ = 9870336000.

The previous prime is 10131122993. The next prime is 10131123017. The reversal of 10131123011 is 11032113101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10131123011 - 214 = 10131106627 is a prime.

It is a super-2 number, since 2×101311230112 (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 (10131123017) 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, 2107811 + ... + 2112611.

It is an arithmetic number, because the mean of its divisors is an integer number (649753818).

Almost surely, 210131123011 is an apocalyptic number.

10131123011 is a deficient number, since it is larger than the sum of its proper divisors (264938077).

10131123011 is a wasteful number, since it uses less digits than its factorization.

10131123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10131123011 its reverse (11032113101), we get a palindrome (21163236112).

The spelling of 10131123011 in words is "ten billion, one hundred thirty-one million, one hundred twenty-three thousand, eleven".

Divisors: 1 73 137 211 4801 10001 15403 28907 350473 657737 1013011 2110211 48014801 73949803 138782507 10131123011