Search a number
-
+
213313421001032 = 23115290345820013
BaseRepresentation
bin110000100000000111100110…
…101011110100000101001000
31000222021120020002001002220022
4300200013212223310011020
5210424411341234013112
62033402455513520012
762634246266536502
oct6040074653640510
91028246202032808
10213313421001032
1161a717940a4030
121bb116a1113008
1392044a5430111
143a965d33c6d72
15199db89297d72
hexc201e6af4148

213313421001032 has 32 divisors (see below), whose sum is σ = 436331163718080. Its totient is φ = 96958810992960.

The previous prime is 213313421001029. The next prime is 213313421001059. The reversal of 213313421001032 is 230100124313312.

It is a happy number.

It is a super-3 number, since 3×2133134210010323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213313421000992 and 213313421001010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18254543 + ... + 27565470.

It is an arithmetic number, because the mean of its divisors is an integer number (13635348866190).

Almost surely, 2213313421001032 is an apocalyptic number.

213313421001032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213313421001032 is an abundant number, since it is smaller than the sum of its proper divisors (223017742717048).

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

213313421001032 is a wasteful number, since it uses less digits than its factorization.

213313421001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45872933 (or 45872929 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 213313421001032 its reverse (230100124313312), we get a palindrome (443413545314344).

The spelling of 213313421001032 in words is "two hundred thirteen trillion, three hundred thirteen billion, four hundred twenty-one million, one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 52903 105806 211612 423224 581933 1163866 2327732 4655464 45820013 91640026 183280052 366560104 504020143 1008040286 2016080572 4032161144 2424016147739 4848032295478 9696064590956 19392129181912 26664177625129 53328355250258 106656710500516 213313421001032