Search a number
-
+
212120103132 = 223373141220757
BaseRepresentation
bin1100010110001101010…
…1111110100011011100
3202021112000101201101000
43011203111332203130
511433410221300012
6241240245550300
721216351061440
oct3054325764334
9667460351330
10212120103132
1181a612a5063
123513a715390
1317006315832
14a3a3a44820
1557b751addc
hex316357e8dc

212120103132 has 192 divisors, whose sum is σ = 664605204480. Its totient is φ = 57219955200.

The previous prime is 212120103127. The next prime is 212120103161. The reversal of 212120103132 is 231301021212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850498 + ... + 1071254.

It is an arithmetic number, because the mean of its divisors is an integer number (3461485440).

Almost surely, 2212120103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332302602240).

212120103132 is an abundant number, since it is smaller than the sum of its proper divisors (452485101348).

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

212120103132 is a wasteful number, since it uses less digits than its factorization.

212120103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220849 (or 220841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212120103132 its reverse (231301021212), we get a palindrome (443421124344).

The spelling of 212120103132 in words is "two hundred twelve billion, one hundred twenty million, one hundred three thousand, one hundred thirty-two".