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22102101 = 3273111317
BaseRepresentation
bin101010001010…
…0000001010101
31112120220101100
41110110001111
521124231401
62105420313
7355602420
oct124240125
945526340
1022102101
11115266aa
12749a699
13476b188
142d149b7
151e18b86
hex1514055

22102101 has 24 divisors (see below), whose sum is σ = 37666304. Its totient is φ = 12221280.

The previous prime is 22102097. The next prime is 22102117. The reversal of 22102101 is 10120122.

It is not a de Polignac number, because 22102101 - 22 = 22102097 is a prime.

It is a super-2 number, since 2×221021012 = 977005737228402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3706 + ... + 7611.

Almost surely, 222102101 is an apocalyptic number.

22102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22102101 is a deficient number, since it is larger than the sum of its proper divisors (15564203).

22102101 is a wasteful number, since it uses less digits than its factorization.

22102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 22102101 is about 4701.2871641711. The cubic root of 22102101 is about 280.6367354547.

Adding to 22102101 its reverse (10120122), we get a palindrome (32222223).

The spelling of 22102101 in words is "twenty-two million, one hundred two thousand, one hundred one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 11317 33951 79219 101853 237657 350827 712971 1052481 2455789 3157443 7367367 22102101