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21131226 = 2331133463
BaseRepresentation
bin101000010011…
…0111111011010
31110202120121000
41100212333122
520402144401
62032525430
7344420034
oct120467732
943676530
1021131226
1110a23226
1270b0876
1344bb2ac
142b40c54
151cc6186
hex1426fda

21131226 has 32 divisors (see below), whose sum is σ = 47387520. Its totient is φ = 6979392.

The previous prime is 21131191. The next prime is 21131251. The reversal of 21131226 is 62213112.

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

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21131199 and 21131208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4371 + ... + 7833.

It is an arithmetic number, because the mean of its divisors is an integer number (1480860).

Almost surely, 221131226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23693760).

21131226 is an abundant number, since it is smaller than the sum of its proper divisors (26256294).

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

21131226 is a wasteful number, since it uses less digits than its factorization.

21131226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 21131226 is about 4596.8713273269. The cubic root of 21131226 is about 276.4658955328.

Adding to 21131226 its reverse (62213112), we get a palindrome (83344338).

The spelling of 21131226 in words is "twenty-one million, one hundred thirty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 3463 6102 6926 10389 20778 31167 62334 93501 187002 391319 782638 1173957 2347914 3521871 7043742 10565613 21131226