Search a number
-
+
213233432412 = 2237112134333727
BaseRepresentation
bin1100011010010110110…
…0111111011101011100
3202101101121022201000210
43012211230333131130
511443200224314122
6241542540252420
721256060161420
oct3064554773534
9671347281023
10213233432412
1182482793900
12353ab541110
1317152b82560
14a46b852b80
15583013640c
hex31a5b3f75c

213233432412 has 288 divisors, whose sum is σ = 674828363776. Its totient is φ = 50993141760.

The previous prime is 213233432353. The next prime is 213233432519. The reversal of 213233432412 is 214234332312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213233432412.

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 95 ways as a sum of consecutive naturals, for example, 57211293 + ... + 57215019.

Almost surely, 2213233432412 is an apocalyptic number.

213233432412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213233432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337414181888).

213233432412 is an abundant number, since it is smaller than the sum of its proper divisors (461594931364).

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

213233432412 is a wasteful number, since it uses less digits than its factorization.

213233432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4196 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 213233432412 its reverse (214234332312), we get a palindrome (427467764724).

The spelling of 213233432412 in words is "two hundred thirteen billion, two hundred thirty-three million, four hundred thirty-two thousand, four hundred twelve".