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21116106 = 23311191871
BaseRepresentation
bin101000010001…
…1010011001010
31110201210212000
41100203103022
520401203411
62032331430
7344324664
oct120432312
943653760
1021116106
1110a12930
1270a3b76
1344b444b
142b39534
151cc1956
hex14234ca

21116106 has 64 divisors (see below), whose sum is σ = 53913600. Its totient is φ = 6058800.

The previous prime is 21116099. The next prime is 21116119. The reversal of 21116106 is 60161112.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10351 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 221116106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21116106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

21116106 is an abundant number, since it is smaller than the sum of its proper divisors (32797494).

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

21116106 is a wasteful number, since it uses less digits than its factorization.

21116106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 21116106 is about 4595.2264362053. The cubic root of 21116106 is about 276.3999400325.

Adding to 21116106 its reverse (60161112), we get a palindrome (81277218).

The spelling of 21116106 in words is "twenty-one million, one hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1871 1881 3742 3762 5613 5643 11226 11286 16839 20581 33678 35549 41162 50517 61743 71098 101034 106647 123486 185229 213294 319941 370458 391039 555687 639882 782078 959823 1111374 1173117 1919646 2346234 3519351 7038702 10558053 21116106