Search a number
-
+
221212021000221 = 3413991952117659
BaseRepresentation
bin110010010011000011101111…
…111011101000100000011101
31002000020122220002102202110000
4302103003233323220200131
5212443314204334001341
62102251222144004513
764411020046012356
oct6223035773504035
91060218802382400
10221212021000221
11645375449618a9
1220988456300739
1396582864658a4
143c8aa0cad2d2d
151a8937412d8b6
hexc930efee881d

221212021000221 has 20 divisors (see below), whose sum is σ = 330688731604000. Its totient is φ = 147369266237736.

The previous prime is 221212021000193. The next prime is 221212021000241. The reversal of 221212021000221 is 122000120212122.

It is a happy number.

221212021000221 is a `hidden beast` number, since 2 + 21 + 212 + 0 + 210 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 221212021000221 - 219 = 221212020475933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221212021000194 and 221212021000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212021000241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 975945511 + ... + 976172148.

It is an arithmetic number, because the mean of its divisors is an integer number (16534436580200).

Almost surely, 2221212021000221 is an apocalyptic number.

It is an amenable number.

221212021000221 is a deficient number, since it is larger than the sum of its proper divisors (109476710603779).

221212021000221 is a wasteful number, since it uses less digits than its factorization.

221212021000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952119070 (or 1952119061 counting only the distinct ones).

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

Adding to 221212021000221 its reverse (122000120212122), we get a palindrome (343212141212343).

The spelling of 221212021000221 in words is "two hundred twenty-one trillion, two hundred twelve billion, twenty-one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 1399 4197 12591 37773 113319 1952117659 5856352977 17569058931 52707176793 158121530379 2731012604941 8193037814823 24579113444469 73737340333407 221212021000221