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10406332221 = 3234123915391
BaseRepresentation
bin10011011000100010…
…00000011100111101
3222212020100110010220
421230101000130331
5132303010112341
64440335451553
7515610235665
oct115421003475
928766313126
1010406332221
11446011546a
122025086bb9
13c9ac3803c
1470a0d51a5
1540d8c2a66
hex26c44073d

10406332221 has 32 divisors (see below), whose sum is σ = 14894530560. Its totient is φ = 6446563200.

The previous prime is 10406332219. The next prime is 10406332283. The reversal of 10406332221 is 12223360401.

It is not a de Polignac number, because 10406332221 - 21 = 10406332219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10406332191 and 10406332200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406332201) 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, 668436 + ... + 683826.

It is an arithmetic number, because the mean of its divisors is an integer number (465454080).

Almost surely, 210406332221 is an apocalyptic number.

It is an amenable number.

10406332221 is a deficient number, since it is larger than the sum of its proper divisors (4488198339).

10406332221 is a wasteful number, since it uses less digits than its factorization.

10406332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15697.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10406332221 its reverse (12223360401), we get a palindrome (22629692622).

The spelling of 10406332221 in words is "ten billion, four hundred six million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 23 41 69 123 239 717 943 2829 5497 9799 15391 16491 29397 46173 225377 353993 631031 676131 1061979 1893093 3678449 11035347 14513713 43541139 84604327 150816409 253812981 452449227 3468777407 10406332221