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21122100012222 = 23211919116079731
BaseRepresentation
bin1001100110101110111110…
…10001001010010010111110
32202210020211110121012211200
410303113133101022102332
510232031030100342342
6112531205255400330
74310010220530636
oct463273721122276
982706743535750
1021122100012222
116803917894340
1224517306830a6
13ba2a6185a201
1453045a89b6c6
1526967ab1d94c
hex1335df44a4be

21122100012222 has 48 divisors (see below), whose sum is σ = 49979289409920. Its totient is φ = 6393671528400.

The previous prime is 21122100012197. The next prime is 21122100012227. The reversal of 21122100012222 is 22221000122112.

It is a happy number.

21122100012222 is a `hidden beast` number, since 211 + 221 + 0 + 0 + 0 + 12 + 222 = 666.

It is a super-2 number, since 2×211221000122222 (a number of 27 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 = 21122100012195 and 21122100012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122100012227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57857904 + ... + 58221827.

It is an arithmetic number, because the mean of its divisors is an integer number (1041235196040).

Almost surely, 221122100012222 is an apocalyptic number.

21122100012222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21122100012222 is an abundant number, since it is smaller than the sum of its proper divisors (28857189397698).

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

21122100012222 is a wasteful number, since it uses less digits than its factorization.

21122100012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116080669 (or 116080666 counting only the distinct ones).

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

Adding to 21122100012222 its reverse (22221000122112), we get a palindrome (43343100134334).

The spelling of 21122100012222 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 919 1838 2757 5514 8271 10109 16542 20218 30327 60654 90981 181962 116079731 232159462 348239193 696478386 1044717579 1276877041 2089435158 2553754082 3830631123 7661262246 11491893369 22983786738 106677272789 213354545578 320031818367 640063636734 960095455101 1173450000679 1920190910202 2346900001358 3520350002037 7040700004074 10561050006111 21122100012222