Search a number
-
+
221011222110102 = 23237989533353599
BaseRepresentation
bin110010010000001000101111…
…011000101001111110010110
31001222112110121001220020201200
4302100020233120221332112
5212432021440330010402
62102015053114533330
764360351054423554
oct6220105730517626
91058473531806650
10221011222110102
116446a373148736
1220955557137246
139642365791a88
143c81000894bd4
151a840209a121c
hexc9022f629f96

221011222110102 has 48 divisors (see below), whose sum is σ = 491804863180800. Its totient is φ = 71678569527936.

The previous prime is 221011222110083. The next prime is 221011222110113. The reversal of 221011222110102 is 201011222110122.

221011222110102 is a `hidden beast` number, since 221 + 0 + 11 + 222 + 110 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64225899 + ... + 67579497.

It is an arithmetic number, because the mean of its divisors is an integer number (10245934649600).

Almost surely, 2221011222110102 is an apocalyptic number.

221011222110102 is an abundant number, since it is smaller than the sum of its proper divisors (270793641070698).

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

221011222110102 is a wasteful number, since it uses less digits than its factorization.

221011222110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452597 (or 3452594 counting only the distinct ones).

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

Adding to 221011222110102 its reverse (201011222110122), we get a palindrome (422022444220224).

The spelling of 221011222110102 in words is "two hundred twenty-one trillion, eleven billion, two hundred twenty-two million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 98953 197906 296859 593718 890577 1781154 3353599 3661261 6707198 7322522 10060797 10983783 20121594 21967566 30182391 32951349 60364782 65902698 124083163 248166326 372249489 744498978 1116748467 2233496934 331848681847 663697363694 995546045541 1991092091082 2986638136623 5973276273246 12278401228339 24556802456678 36835203685017 73670407370034 110505611055051 221011222110102