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222102202202001 = 351119531131574651
BaseRepresentation
bin110010100000000000110010…
…110111011011011110010001
31002010101202121100102012200000
4302200000302313123132101
5213102410302230431001
62104212202040320213
764532232422253132
oct6240006267333621
91063352540365600
10222102202202001
1164850018a50220
1220ab0a8a173069
1396c11bc939404
143cbbb38043c89
151aa25c4641a86
hexca0032ddb791

222102202202001 has 384 divisors, whose sum is σ = 395282902210560. Its totient is φ = 123193115136000.

The previous prime is 222102202201987. The next prime is 222102202202029. The reversal of 222102202202001 is 100202202201222.

222102202202001 is a `hidden beast` number, since 2 + 2 + 21 + 0 + 220 + 220 + 200 + 1 = 666.

It is not a de Polignac number, because 222102202202001 - 211 = 222102202199953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222102202207001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47753642526 + ... + 47753647176.

It is an arithmetic number, because the mean of its divisors is an integer number (1029382557840).

Almost surely, 2222102202202001 is an apocalyptic number.

It is an amenable number.

222102202202001 is a deficient number, since it is larger than the sum of its proper divisors (173180700008559).

222102202202001 is a wasteful number, since it uses less digits than its factorization.

222102202202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5007 counting only the distinct ones).

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

Adding to 222102202202001 its reverse (100202202201222), we get a palindrome (322304404403223).

The spelling of 222102202202001 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred two million, two hundred two thousand, one".