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10412210214 = 23274892707
BaseRepresentation
bin10011011001001110…
…11011100000100110
3222212122102002020100
421230213123200212
5132311011211324
64441105444530
7516011220000
oct115447334046
928778362210
1010412210214
11446346a70a
122027040746
13c9c215643
1470abc5370
1540e1844c9
hex26c9db826

10412210214 has 120 divisors (see below), whose sum is σ = 26623729080. Its totient is φ = 2940404544.

The previous prime is 10412210203. The next prime is 10412210233. The reversal of 10412210214 is 41201221401.

10412210214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 3845049 + ... + 3847755.

It is an arithmetic number, because the mean of its divisors is an integer number (221864409).

Almost surely, 210412210214 is an apocalyptic number.

10412210214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412210214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311864540).

10412210214 is an abundant number, since it is smaller than the sum of its proper divisors (16211518866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10412210214 is an equidigital number, since it uses as much as digits as its factorization.

10412210214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10412210214 its reverse (41201221401), we get a palindrome (51613431615).

The spelling of 10412210214 in words is "ten billion, four hundred twelve million, two hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 89 98 126 147 178 267 294 343 441 534 623 686 801 882 1029 1246 1602 1869 2058 2401 2707 3087 3738 4361 4802 5414 5607 6174 7203 8121 8722 11214 13083 14406 16242 18949 21609 24363 26166 30527 37898 39249 43218 48726 56847 61054 78498 91581 113694 132643 170541 183162 213689 240923 265286 274743 341082 397929 427378 481846 549486 641067 722769 795858 928501 1193787 1282134 1445538 1686461 1857002 1923201 2168307 2387574 2785503 3372922 3846402 4336614 5059383 5571006 6499507 8356509 10118766 11805227 12999014 15178149 16713018 19498521 23610454 30356298 35415681 38997042 58495563 70831362 82636589 106247043 116991126 165273178 212494086 247909767 495819534 578456123 743729301 1156912246 1487458602 1735368369 3470736738 5206105107 10412210214