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221020212012201 = 3273794817765771
BaseRepresentation
bin110010010000010001000111…
…001110011010010010101001
31001222120022210120222121000200
4302100101013032122102221
5212432143343233342301
62102023141135422413
764361116615346640
oct6220210716322251
91058508716877020
10221020212012201
1164473166772198
1220957245984a09
139643169117a84
143c816147dc357
151a84399d35c86
hexc9044739a4a9

221020212012201 has 24 divisors (see below), whose sum is σ = 374719810330944. Its totient is φ = 122883824437920.

The previous prime is 221020212012137. The next prime is 221020212012209. The reversal of 221020212012201 is 102210212020122.

It is a happy number.

221020212012201 is a `hidden beast` number, since 2 + 210 + 20 + 212 + 0 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 221020212012201 - 26 = 221020212012137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221020212012209) 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, 47408880555 + ... + 47408885216.

It is an arithmetic number, because the mean of its divisors is an integer number (15613325430456).

Almost surely, 2221020212012201 is an apocalyptic number.

221020212012201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221020212012201 is a deficient number, since it is larger than the sum of its proper divisors (153699598318743).

221020212012201 is a wasteful number, since it uses less digits than its factorization.

221020212012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94817765821 (or 94817765818 counting only the distinct ones).

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

Adding to 221020212012201 its reverse (102210212020122), we get a palindrome (323230424032323).

The spelling of 221020212012201 in words is "two hundred twenty-one trillion, twenty billion, two hundred twelve million, twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 94817765771 284453297313 663724360397 853359891939 1991173081191 3508257333527 5973519243573 10524772000581 24557801334689 31574316001743 73673404004067 221020212012201