Search a number
-
+
10131012023 = 111575866249
BaseRepresentation
bin10010110111101101…
…01111100110110111
3222011001021201211112
421123312233212313
5131222014341043
64353142425235
7506025116126
oct113366574667
928131251745
1010131012023
114329768310
121b68a3221b
13c55b9b792
146c1707abd
153e463b518
hex25bdaf9b7

10131012023 has 8 divisors (see below), whose sum is σ = 11122410000. Its totient is φ = 9151346880.

The previous prime is 10131012019. The next prime is 10131012049. The reversal of 10131012023 is 32021013101.

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 10131012023 - 22 = 10131012019 is a prime.

It is a super-2 number, since 2×101310120232 (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 = 10131011989 and 10131012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131012923) 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, 2931398 + ... + 2934851.

It is an arithmetic number, because the mean of its divisors is an integer number (1390301250).

Almost surely, 210131012023 is an apocalyptic number.

10131012023 is a deficient number, since it is larger than the sum of its proper divisors (991397977).

10131012023 is a wasteful number, since it uses less digits than its factorization.

10131012023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866417.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10131012023 its reverse (32021013101), we get a palindrome (42152025124).

The spelling of 10131012023 in words is "ten billion, one hundred thirty-one million, twelve thousand, twenty-three".

Divisors: 1 11 157 1727 5866249 64528739 921001093 10131012023