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10022011031 = 3713114913877
BaseRepresentation
bin10010101010101101…
…11100000010010111
3221212110011220120202
421111112330002113
5131011113323111
64334250251115
7503232455024
oct112526740227
927773156522
1010022011031
11428318924a
121b38426a9b
13c39426056
146b105254b
153d9ca9b3b
hex2555bc097

10022011031 has 16 divisors (see below), whose sum is σ = 10441807200. Its totient is φ = 9611072640.

The previous prime is 10022011001. The next prime is 10022011039. The reversal of 10022011031 is 13011022001.

10022011031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022011031 - 26 = 10022010967 is a prime.

It is a super-2 number, since 2×100220110312 (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 (10022011039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715265 + ... + 729141.

It is an arithmetic number, because the mean of its divisors is an integer number (652612950).

Almost surely, 210022011031 is an apocalyptic number.

10022011031 is a deficient number, since it is larger than the sum of its proper divisors (419796169).

10022011031 is a wasteful number, since it uses less digits than its factorization.

10022011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14194.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10022011031 its reverse (13011022001), we get a palindrome (23033033032).

The spelling of 10022011031 in words is "ten billion, twenty-two million, eleven thousand, thirty-one".

Divisors: 1 37 131 149 4847 5513 13877 19519 513449 722203 1817887 2067673 67261819 76503901 270865163 10022011031