Search a number
-
+
10131222031 = 719723833083
BaseRepresentation
bin10010110111101111…
…00010111000001111
3222011001200101220121
421123313202320033
5131222043101111
64353151125411
7506026652320
oct113367427017
928131611817
1010131222031
1143298a1077
121b68b13867
13c55c43248
146c1760447
153e467d871
hex25bde2e0f

10131222031 has 16 divisors (see below), whose sum is σ = 11645973504. Its totient is φ = 8633397024.

The previous prime is 10131222001. The next prime is 10131222041. The reversal of 10131222031 is 13022213101.

10131222031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10131222031 - 221 = 10129124879 is a prime.

It is a super-2 number, since 2×101312220312 (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 = 10131221996 and 10131222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131222001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3284616 + ... + 3287698.

It is an arithmetic number, because the mean of its divisors is an integer number (727873344).

Almost surely, 210131222031 is an apocalyptic number.

10131222031 is a deficient number, since it is larger than the sum of its proper divisors (1514751473).

10131222031 is a wasteful number, since it uses less digits than its factorization.

10131222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10131222031 its reverse (13022213101), we get a palindrome (23153435132).

The spelling of 10131222031 in words is "ten billion, one hundred thirty-one million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 7 197 1379 2383 3083 16681 21581 469451 607351 3286157 4251457 7346789 51427523 1447317433 10131222031