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10131222231 = 3313101285781
BaseRepresentation
bin10010110111101111…
…00010111011010111
3222011001200102012000
421123313202323113
5131222043102411
64353151130343
7506026653024
oct113367427327
928131612160
1010131222231
1143298a1239
121b68b139b3
13c55c43370
146c176054b
153e467d956
hex25bde2ed7

10131222231 has 32 divisors (see below), whose sum is σ = 16323867840. Its totient is φ = 6172848000.

The previous prime is 10131222223. The next prime is 10131222289. The reversal of 10131222231 is 13222213101.

10131222231 is a `hidden beast` number, since 101 + 312 + 22 + 231 = 666.

It is not a de Polignac number, because 10131222231 - 23 = 10131222223 is a prime.

It is a super-2 number, since 2×101312222312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131222331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107440 + ... + 178341.

It is an arithmetic number, because the mean of its divisors is an integer number (510120870).

Almost surely, 210131222231 is an apocalyptic number.

10131222231 is a deficient number, since it is larger than the sum of its proper divisors (6192645609).

10131222231 is a wasteful number, since it uses less digits than its factorization.

10131222231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285904 (or 285898 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131222231 its reverse (13222213101), we get a palindrome (23353435332).

The spelling of 10131222231 in words is "ten billion, one hundred thirty-one million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 101 117 303 351 909 1313 2727 3939 11817 35451 285781 857343 2572029 3715153 7716087 11145459 28863881 33436377 86591643 100309131 259774929 375230453 779324787 1125691359 3377074077 10131222231