Search a number
-
+
221211211120002 = 23229482334168433
BaseRepresentation
bin110010010011000010111111…
…101010001011110110000010
31002000020120210122111120122100
4302103002333222023312002
5212443311030021320002
62102251005533251230
764410661013105505
oct6223027752136602
91060216718446570
10221211211120002
1164537169792904
122098826b033b16
13965818773381c
143c8a97331513c
151a89327ea411c
hexc930bfa8bd82

221211211120002 has 24 divisors (see below), whose sum is σ = 479291234976684. Its totient is φ = 73737027673344.

The previous prime is 221211211119991. The next prime is 221211211120013. The reversal of 221211211120002 is 200021112112122.

221211211120002 is a `hidden beast` number, since 221 + 211 + 21 + 11 + 200 + 0 + 2 = 666.

221211211120002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221211211119991) and next prime (221211211120013).

It can be written as a sum of positive squares in 2 ways, for example, as 132406239117681 + 88804972002321 = 11506791^2 + 9423639^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50983978 + ... + 55152410.

Almost surely, 2221211211120002 is an apocalyptic number.

221211211120002 is an abundant number, since it is smaller than the sum of its proper divisors (258080023856682).

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

221211211120002 is a wasteful number, since it uses less digits than its factorization.

221211211120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116674 (or 7116671 counting only the distinct ones).

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

Adding to 221211211120002 its reverse (200021112112122), we get a palindrome (421232323232124).

The spelling of 221211211120002 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 2948233 4168433 5896466 8336866 8844699 12505299 17689398 25010598 26534097 37515897 53068194 75031794 12289511728889 24579023457778 36868535186667 73737070373334 110605605560001 221211211120002