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122222200020021 = 3241331225474309
BaseRepresentation
bin11011110010100100010010…
…110100001101110000110101
3121000202022212021011102202200
4123302210102310031300311
5112004442031201120041
61111540034211255113
734513156024534533
oct3362442264156065
9530668767142680
10122222200020021
1135a42164648882
121185b5935aa499
1353276723c561a
14222782c16b153
15e1e42ea461b6
hex6f2912d0dc35

122222200020021 has 12 divisors (see below), whose sum is σ = 180849108973260. Its totient is φ = 79494113833920.

The previous prime is 122222200020013. The next prime is 122222200020097. The reversal of 122222200020021 is 120020002222221.

122222200020021 is a `hidden beast` number, since 1 + 2 + 222 + 220 + 0 + 0 + 200 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3776220562500 + 118445979457521 = 1943250^2 + 10883289^2 .

It is not a de Polignac number, because 122222200020021 - 23 = 122222200020013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122222200019976 and 122222200020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222201020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165612736786 + ... + 165612737523.

It is an arithmetic number, because the mean of its divisors is an integer number (15070759081105).

Almost surely, 2122222200020021 is an apocalyptic number.

It is an amenable number.

122222200020021 is a deficient number, since it is larger than the sum of its proper divisors (58626908953239).

122222200020021 is a wasteful number, since it uses less digits than its factorization.

122222200020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331225474356 (or 331225474353 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122222200020021 its reverse (120020002222221), we get a palindrome (242242202242242).

The spelling of 122222200020021 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred million, twenty thousand, twenty-one".

Divisors: 1 3 9 41 123 369 331225474309 993676422927 2981029268781 13580244446669 40740733340007 122222200020021