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221021112121002 = 232111212911040941
BaseRepresentation
bin110010010000010001111100…
…111000000011011010101010
31001222120102010022200212011200
4302100101330320003122222
5212432202214200333002
62102023410332105030
764361151125220564
oct6220217470033252
91058512108625150
10221021112121002
1164473588869266
1220957457305176
13964328074bb2b
143c8169c186334
151a843edd84b1c
hexc9047ce036aa

221021112121002 has 24 divisors (see below), whose sum is σ = 478879550231940. Its totient is φ = 73673631121920.

The previous prime is 221021112121001. The next prime is 221021112121009. The reversal of 221021112121002 is 200121211120122.

221021112121002 is a `hidden beast` number, since 221 + 0 + 211 + 1 + 21 + 210 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221013981838521 + 7130282481 = 14866539^2 + 84441^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221021112121001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14497852 + ... + 25538792.

Almost surely, 2221021112121002 is an apocalyptic number.

221021112121002 is an abundant number, since it is smaller than the sum of its proper divisors (257858438110938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221021112121002 is a wasteful number, since it uses less digits than its factorization.

221021112121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12153078 (or 12153075 counting only the distinct ones).

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

Adding to 221021112121002 its reverse (200121211120122), we get a palindrome (421142323241124).

The spelling of 221021112121002 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 1112129 2224258 3336387 6672774 10009161 11040941 20018322 22081882 33122823 66245646 99368469 198736938 12278950673389 24557901346778 36836852020167 73673704040334 110510556060501 221021112121002