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21033102222 = 23311593731609
BaseRepresentation
bin10011100101101010…
…111010101110001110
32000021211111022002000
4103211222322232032
5321033433232342
613355032213130
71343135263506
oct234552725616
960254438060
1021033102222
118a13702010
1240abb3a1a6
131ca2734b22
1410375aca06
158317da44c
hex4e5abab8e

21033102222 has 128 divisors (see below), whose sum is σ = 52024896000. Its totient is φ = 6244957440.

The previous prime is 21033102221. The next prime is 21033102241. The reversal of 21033102222 is 22220133012.

It is a super-2 number, since 2×210331022222 (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 = 21033102195 and 21033102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21033102221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13071354 + ... + 13072962.

It is an arithmetic number, because the mean of its divisors is an integer number (406444500).

Almost surely, 221033102222 is an apocalyptic number.

21033102222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21033102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26012448000).

21033102222 is an abundant number, since it is smaller than the sum of its proper divisors (30991793778).

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

21033102222 is a wasteful number, since it uses less digits than its factorization.

21033102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21033102222 its reverse (22220133012), we get a palindrome (43253235234).

The spelling of 21033102222 in words is "twenty-one billion, thirty-three million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 373 531 594 649 746 1062 1119 1298 1593 1609 1947 2238 3186 3218 3357 3894 4103 4827 5841 6714 8206 9654 10071 11682 12309 14481 17523 17699 20142 22007 24618 28962 35046 35398 36927 43443 44014 53097 66021 73854 86886 94931 106194 110781 132042 159291 189862 198063 221562 242077 284793 318582 396126 477873 484154 569586 594189 600157 726231 854379 955746 1044241 1188378 1200314 1452462 1708758 1800471 2088482 2178693 2563137 3132723 3600942 4357386 5126274 5401413 6265446 6536079 6601727 9398169 10802826 13072158 13203454 16204239 18796338 19805181 28194507 32408478 35409263 39610362 56389014 59415543 70818526 106227789 118831086 178246629 212455578 318683367 356493258 389501893 637366734 779003786 956050101 1168505679 1912100202 2337011358 3505517037 7011034074 10516551111 21033102222