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221021210212002 = 23237536261578849
BaseRepresentation
bin110010010000010010000010…
…101110001111011010100010
31001222120102101011021101201200
4302100102002232033122202
5212432202414303241002
62102023424154342030
764361153426042304
oct6220220256173242
91058512334241650
10221021210212002
1164473629176502
122095748412a916
139643297b74745
143c816ab1db974
151a844077adb1c
hexc90482b8f6a2

221021210212002 has 48 divisors (see below), whose sum is σ = 501101632207800. Its totient is φ = 70330053620736.

The previous prime is 221021210211941. The next prime is 221021210212009. The reversal of 221021210212002 is 200212012120122.

It is a happy number.

221021210212002 is a `hidden beast` number, since 2 + 210 + 21 + 210 + 21 + 200 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209861608533201 + 11159601678801 = 14486601^2 + 3340599^2 .

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 (221021210212009) 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, 3130754127 + ... + 3130824722.

Almost surely, 2221021210212002 is an apocalyptic number.

221021210212002 is an abundant number, since it is smaller than the sum of its proper divisors (280080421995798).

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

221021210212002 is a wasteful number, since it uses less digits than its factorization.

221021210212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261578947 (or 6261578944 counting only the distinct ones).

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

Adding to 221021210212002 its reverse (200212012120122), we get a palindrome (421233222332124).

The spelling of 221021210212002 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred ten million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1961 3922 5883 11766 17649 35298 6261578849 12523157698 18784736547 37569473094 56354209641 112708419282 231678417413 331863678997 463356834826 663727357994 695035252239 995591036991 1390070504478 1991182073982 2085105756717 2986773110973 4170211513434 5973546221946 12278956122889 24557912245778 36836868368667 73673736737334 110510605106001 221021210212002