Search a number
-
+
21112210010122 = 27211383211124223
BaseRepresentation
bin1001100110011100100011…
…10001110011000000001010
32202202022022012211001110121
410303032101301303000022
510231400301230310442
6112522452042333454
74306210150101400
oct463162161630012
982668265731417
1021112210010122
1167aa70217a390
12244b8304ba28a
13ba1b468a416a
1452db9d1ad470
1526929c73c967
hex133391c7300a

21112210010122 has 96 divisors (see below), whose sum is σ = 40313300189184. Its totient is φ = 8199834904800.

The previous prime is 21112210010093. The next prime is 21112210010123. The reversal of 21112210010122 is 22101001221112.

It is a super-2 number, since 2×211122100101222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21112210010096 and 21112210010105.

It is not an unprimeable number, because it can be changed into a prime (21112210010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871564903 + ... + 871589125.

It is an arithmetic number, because the mean of its divisors is an integer number (419930210304).

Almost surely, 221112210010122 is an apocalyptic number.

21112210010122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21112210010122 is a deficient number, since it is larger than the sum of its proper divisors (19201090179062).

21112210010122 is a wasteful number, since it uses less digits than its factorization.

21112210010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26744 (or 26737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21112210010122 its reverse (22101001221112), we get a palindrome (43213211231234).

The spelling of 21112210010122 in words is "twenty-one trillion, one hundred twelve billion, two hundred ten million, ten thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 49 77 98 154 383 539 766 1078 2111 2681 4213 4222 5362 8426 14777 18767 23221 24223 29491 29554 37534 46442 48446 58982 103439 162547 169561 206437 206878 266453 325094 339122 412874 532906 808513 1137829 1186927 1617026 1865171 2275658 2373854 3730342 5659591 8893643 9277409 11319182 13056197 17787286 18554818 26112394 39617137 51134753 62255501 64941863 79234274 102051499 102269506 124511002 129883726 204102998 357943271 435788507 454593041 562482283 714360493 715886542 871577014 909186082 1124964566 1428720986 2505602897 3937375981 5000523451 5011205794 7874751962 10001046902 19584610399 27561631867 39169220798 55123263734 137092272793 215430714389 274184545586 430861428778 959645909551 1508015000723 1919291819102 3016030001446 10556105005061 21112210010122