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222112211012001 = 32233815171299349
BaseRepresentation
bin110010100000001010000111…
…011100000000100110100001
31002010102201102212202102211200
4302200022013130000212201
5213103041302004341001
62104220535140031413
764533035434610202
oct6240120734004641
91063381385672750
10222112211012001
1164854294732322
1220ab2a02092569
1396c21263bc8ab
143cbc40741b5a9
151aa29ad190086
hexca02877009a1

222112211012001 has 24 divisors (see below), whose sum is σ = 322209897258600. Its totient is φ = 147437370982656.

The previous prime is 222112211011963. The next prime is 222112211012011. The reversal of 222112211012001 is 100210112211222.

222112211012001 is a `hidden beast` number, since 22 + 211 + 221 + 10 + 1 + 200 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 703167779601 + 221409043232400 = 838551^2 + 14879820^2 .

It is not a de Polignac number, because 222112211012001 - 242 = 217714164500897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222112211012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170291475 + ... + 171590823.

It is an arithmetic number, because the mean of its divisors is an integer number (13425412385775).

Almost surely, 2222112211012001 is an apocalyptic number.

It is an amenable number.

222112211012001 is a deficient number, since it is larger than the sum of its proper divisors (100097686246599).

222112211012001 is a wasteful number, since it uses less digits than its factorization.

222112211012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381105 (or 1381102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222112211012001 its reverse (100210112211222), we get a palindrome (322322323223223).

The spelling of 222112211012001 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred eleven million, twelve thousand, one".

Divisors: 1 3 9 233 699 2097 81517 244551 733653 1299349 3898047 11694141 18993461 56980383 170941149 302748317 908244951 2724734853 105919032433 317757097299 953271291897 24679134556889 74037403670667 222112211012001