Search a number
-
+
213021233130 = 23567556319051
BaseRepresentation
bin1100011001100100001…
…1100000111111101010
3202100211211000212100010
43012121003200333222
511442231413430010
6241505520152350
721250602414546
oct3063103407752
9670754025303
10213021233130
1182383a293a2
12353504686b6
131711ac16654
14a44b5b6a26
15581b6bc620
hex31990e0fea

213021233130 has 64 divisors (see below), whose sum is σ = 519002085888. Its totient is φ = 55944820800.

The previous prime is 213021233129. The next prime is 213021233147. The reversal of 213021233130 is 31332120312.

213021233130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213021233097 and 213021233106.

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 31 ways as a sum of consecutive naturals, for example, 11172105 + ... + 11191155.

It is an arithmetic number, because the mean of its divisors is an integer number (8109407592).

Almost surely, 2213021233130 is an apocalyptic number.

213021233130 is an abundant number, since it is smaller than the sum of its proper divisors (305980852758).

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

213021233130 is a wasteful number, since it uses less digits than its factorization.

213021233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24691.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213021233130 its reverse (31332120312), we get a palindrome (244353353442).

The spelling of 213021233130 in words is "two hundred thirteen billion, twenty-one million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 5563 11126 16689 19051 27815 33378 38102 55630 57153 83445 95255 114306 166890 190510 285765 372721 571530 745442 1118163 1276417 1863605 2236326 2552834 3727210 3829251 5590815 6382085 7658502 11181630 12764170 19146255 38292510 105980713 211961426 317942139 529903565 635884278 1059807130 1589710695 3179421390 7100707771 14201415542 21302123313 35503538855 42604246626 71007077710 106510616565 213021233130