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213322410242442 = 232191288948393959
BaseRepresentation
bin110000100000001111111110…
…011111000011000110001010
31000222022102102112212212220100
4300200033332133003012022
5210430033244010224232
62033410543512310230
762635015122041424
oct6040177637030612
91028272375785810
10213322410242442
1161a75587307166
121bb1338b6a2376
1392052a88b4487
143a96c071db814
15199e01354bc7c
hexc203fe7c318a

213322410242442 has 48 divisors (see below), whose sum is σ = 486562552632000. Its totient is φ = 67359743716032.

The previous prime is 213322410242437. The next prime is 213322410242497. The reversal of 213322410242442 is 244242014223312.

213322410242442 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 224 + 1 + 0 + 2 + 424 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213322410242397 and 213322410242406.

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, 19788942 + ... + 28605017.

It is an arithmetic number, because the mean of its divisors is an integer number (10136719846500).

Almost surely, 2213322410242442 is an apocalyptic number.

213322410242442 is an abundant number, since it is smaller than the sum of its proper divisors (273240142389558).

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

213322410242442 is a wasteful number, since it uses less digits than its factorization.

213322410242442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48406875 (or 48406872 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 213322410242442 its reverse (244242014223312), we get a palindrome (457564424465754).

The spelling of 213322410242442 in words is "two hundred thirteen trillion, three hundred twenty-two billion, four hundred ten million, two hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 12889 25778 38667 77334 116001 232002 244891 489782 734673 1469346 2204019 4408038 48393959 96787918 145181877 290363754 435545631 871091262 919485221 1838970442 2758455663 5516911326 8275366989 16550733978 623749737551 1247499475102 1871249212653 3742498425306 5613747637959 11227495275918 11851245013469 23702490026938 35553735040407 71107470080814 106661205121221 213322410242442