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222000020022001 = 13210694621265921
BaseRepresentation
bin110010011110100001101000…
…010101010110001011110001
31002010000222212002121122012211
4302132201220111112023301
5213044222020111201001
62104053222401452121
764521654310124614
oct6236415025261361
91063028762548184
10222000020022001
1164810752856a81
1220a95111641041
1396b4686cc7400
143cb6c0326417b
151a9eae3a5a351
hexc9e8685562f1

222000020022001 has 24 divisors (see below), whose sum is σ = 240668403482040. Its totient is φ = 204686325043200.

The previous prime is 222000020021999. The next prime is 222000020022007. The reversal of 222000020022001 is 100220020000222.

It can be written as a sum of positive squares in 12 ways, for example, as 141097550645601 + 80902469376400 = 11878449^2 + 8994580^2 .

It is not a de Polignac number, because 222000020022001 - 21 = 222000020021999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222000020022007) 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 23 ways as a sum of consecutive naturals, for example, 834701521 + ... + 834967441.

It is an arithmetic number, because the mean of its divisors is an integer number (10027850145085).

Almost surely, 2222000020022001 is an apocalyptic number.

It is an amenable number.

222000020022001 is a deficient number, since it is larger than the sum of its proper divisors (18668383460039).

222000020022001 is a wasteful number, since it uses less digits than its factorization.

222000020022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271637 (or 271624 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 222000020022001 its reverse (100220020000222), we get a palindrome (322220040022223).

The spelling of 222000020022001 in words is "two hundred twenty-two trillion, twenty million, twenty-two thousand, one".

Divisors: 1 13 169 1069 4621 13897 60073 180661 265921 780949 3456973 4939849 44940649 64218037 284269549 834834481 1228820941 3695504137 15974672233 48041553781 207670739029 1313609585929 17076924617077 222000020022001