Search a number
-
+
213533400060 = 223251186296667
BaseRepresentation
bin1100011011011110010…
…1010001101111111100
3202102011111202122021200
43012313211101233330
511444304022300220
6242032413455500
721266361644601
oct3066745215774
9672144678250
10213533400060
1182617045a52
1235473aa1590
13171a006b6c6
14a4996186a8
15584b63a890
hex31b7951bfc

213533400060 has 36 divisors (see below), whose sum is σ = 647717980728. Its totient is φ = 56942239968.

The previous prime is 213533400011. The next prime is 213533400173. The reversal of 213533400060 is 60004335312.

It is a happy number.

213533400060 is a `hidden beast` number, since 213 + 53 + 340 + 0 + 0 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 213533399997 and 213533400033.

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 11 ways as a sum of consecutive naturals, for example, 593148154 + ... + 593148513.

Almost surely, 2213533400060 is an apocalyptic number.

213533400060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213533400060 is an abundant number, since it is smaller than the sum of its proper divisors (434184580668).

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

213533400060 is a wasteful number, since it uses less digits than its factorization.

213533400060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186296682 (or 1186296677 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 213533400060 its reverse (60004335312), we get a palindrome (273537735372).

The spelling of 213533400060 in words is "two hundred thirteen billion, five hundred thirty-three million, four hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1186296667 2372593334 3558890001 4745186668 5931483335 7117780002 10676670003 11862966670 14235560004 17794450005 21353340006 23725933340 35588900010 42706680012 53383350015 71177800020 106766700030 213533400060