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21121100226 = 23219411639241
BaseRepresentation
bin10011101010111010…
…100110100111000010
32000111222002001122100
4103222322212213002
5321224000201401
613411454251230
71345254250452
oct235272464702
960458061570
1021121100226
118a59346236
1241154b6b16
131cb7a35755
141045157d62
158393bdb86
hex4eaea69c2

21121100226 has 96 divisors (see below), whose sum is σ = 49653938880. Its totient is φ = 6466521600.

The previous prime is 21121100173. The next prime is 21121100227. The reversal of 21121100226 is 62200112112.

It is a super-2 number, since 2×211211002262 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21121100199 and 21121100208.

It is not an unprimeable number, because it can be changed into a prime (21121100227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280966 + ... + 2290206.

It is an arithmetic number, because the mean of its divisors is an integer number (517228530).

Almost surely, 221121100226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121100226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24826969440).

21121100226 is an abundant number, since it is smaller than the sum of its proper divisors (28532838654).

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

21121100226 is a wasteful number, since it uses less digits than its factorization.

21121100226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21121100226 its reverse (62200112112), we get a palindrome (83321212338).

The spelling of 21121100226 in words is "twenty-one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 163 171 246 326 342 369 489 738 779 978 1467 1558 2337 2934 3097 4674 6194 6683 7011 9241 9291 13366 14022 18482 18582 20049 27723 27873 40098 55446 55746 60147 83169 120294 126977 166338 175579 253954 351158 378881 380931 526737 757762 761862 1053474 1136643 1142793 1506283 1580211 2273286 2285586 3012566 3160422 3409929 4518849 6819858 7198739 9037698 13556547 14397478 21596217 27113094 28619377 43192434 57238754 61757603 64788651 85858131 123515206 129577302 171716262 185272809 257574393 370545618 515148786 555818427 1111636854 1173394457 2346788914 3520183371 7040366742 10560550113 21121100226