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10163060631 = 332574093581
BaseRepresentation
bin10010111011100001…
…11111111110010111
3222020021120222021000
421131300333332113
5131303220420011
64400245354343
7506564406243
oct113560777627
928207528230
1010163060631
114345867969
121b777089b3
13c5c710059
146c5a8b423
153e736c356
hex25dc3ff97

10163060631 has 32 divisors (see below), whose sum is σ = 15156158400. Its totient is φ = 6730629120.

The previous prime is 10163060627. The next prime is 10163060639. The reversal of 10163060631 is 13606036101.

It is a happy number.

10163060631 is a `hidden beast` number, since 10 + 16 + 3 + 0 + 6 + 0 + 631 = 666.

It is not a de Polignac number, because 10163060631 - 22 = 10163060627 is a prime.

It is a super-2 number, since 2×101630606312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10163060595 and 10163060604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10163060639) 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 31 ways as a sum of consecutive naturals, for example, 2836261 + ... + 2839841.

It is an arithmetic number, because the mean of its divisors is an integer number (473629950).

Almost surely, 210163060631 is an apocalyptic number.

10163060631 is a deficient number, since it is larger than the sum of its proper divisors (4993097769).

10163060631 is a wasteful number, since it uses less digits than its factorization.

10163060631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10163060631 its reverse (13606036101), we get a palindrome (23769096732).

It can be divided in two parts, 101630 and 60631, that added together give a palindrome (162261).

The spelling of 10163060631 in words is "ten billion, one hundred sixty-three million, sixty thousand, six hundred thirty-one".

Divisors: 1 3 9 27 257 409 771 1227 2313 3581 3681 6939 10743 11043 32229 96687 105113 315339 920317 946017 1464629 2760951 2838051 4393887 8282853 13181661 24848559 39544983 376409653 1129228959 3387686877 10163060631