Search a number
-
+
212032110030 = 235132294761503
BaseRepresentation
bin1100010101111000011…
…0010011110111001110
3202021021212211012112020
43011132012103313032
511433220210010110
6241223423551010
721214232124666
oct3053606236716
9667255735466
10212032110030
1181a16664594
123511515b466
1316cc1017200
14a39609b1a6
1557ae938d70
hex315e193dce

212032110030 has 384 divisors, whose sum is σ = 592882053120. Its totient is φ = 48415610880.

The previous prime is 212032110007. The next prime is 212032110047. The reversal of 212032110030 is 30011230212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212032109991 and 212032110009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 421534759 + ... + 421535261.

It is an arithmetic number, because the mean of its divisors is an integer number (1543963680).

Almost surely, 2212032110030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212032110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296441026560).

212032110030 is an abundant number, since it is smaller than the sum of its proper divisors (380849943090).

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

212032110030 is a wasteful number, since it uses less digits than its factorization.

212032110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212032110030 its reverse (30011230212), we get a palindrome (242043340242).

The spelling of 212032110030 in words is "two hundred twelve billion, thirty-two million, one hundred ten thousand, thirty".