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21211222221 = 347109457751
BaseRepresentation
bin10011110000010010…
…011001000011001101
32000202020122201210000
4103300102121003031
5321420033102341
613424434034513
71350430262010
oct236022310315
960666581700
1021211222221
118aa5200222
12413b718a39
1320005cb087
1410530d7377
158422718b6
hex4f04990cd

21211222221 has 80 divisors (see below), whose sum is σ = 36673415680. Its totient is φ = 11967264000.

The previous prime is 21211222217. The next prime is 21211222231. The reversal of 21211222221 is 12222211212.

It is a happy number.

21211222221 is a `hidden beast` number, since 212 + 11 + 222 + 221 = 666.

It is not a de Polignac number, because 21211222221 - 22 = 21211222217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21211222194 and 21211222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211222231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28243596 + ... + 28244346.

It is an arithmetic number, because the mean of its divisors is an integer number (458417696).

Almost surely, 221211222221 is an apocalyptic number.

21211222221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21211222221 is a deficient number, since it is larger than the sum of its proper divisors (15462193459).

21211222221 is a wasteful number, since it uses less digits than its factorization.

21211222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1327 counting only the distinct ones).

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

Adding to 21211222221 its reverse (12222211212), we get a palindrome (33433433433).

The spelling of 21211222221 in words is "twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 109 189 327 457 567 751 763 981 1371 2253 2289 2943 3199 4113 5257 6759 6867 8829 9597 12339 15771 20277 20601 28791 37017 47313 49813 60831 61803 81859 86373 141939 149439 245577 259119 343207 348691 425817 448317 573013 736731 1029621 1046073 1344951 1719039 2210193 2402449 3088863 3138219 4034853 5157117 6630579 7207347 9266589 9414657 15471351 21622041 27799767 28243971 37409563 46414053 64866123 112228689 194598369 261866941 336686067 785600823 1010058201 2356802469 3030174603 7070407407 21211222221