Search a number
-
+
213230030100 = 22352710766767
BaseRepresentation
bin1100011010010110000…
…0000000110100010100
3202101101100220211221020
43012211200000310110
511443143341430400
6241542335321140
721256016231223
oct3064540006424
9671340824836
10213230030100
118248087a67a
12353aa3801b0
1317152260a59
14a46b208cba
15582ebb32a0
hex31a5800d14

213230030100 has 36 divisors (see below), whose sum is σ = 616945554624. Its totient is φ = 56861341280.

The previous prime is 213230030089. The next prime is 213230030107. The reversal of 213230030100 is 1030032312.

213230030100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213230030100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213230030107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355383084 + ... + 355383683.

Almost surely, 2213230030100 is an apocalyptic number.

213230030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213230030100 is an abundant number, since it is smaller than the sum of its proper divisors (403715524524).

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

213230030100 is a wasteful number, since it uses less digits than its factorization.

213230030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710766784 (or 710766777 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213230030100 its reverse (1030032312), we get a palindrome (214260062412).

The spelling of 213230030100 in words is "two hundred thirteen billion, two hundred thirty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 710766767 1421533534 2132300301 2843067068 3553833835 4264600602 7107667670 8529201204 10661501505 14215335340 17769169175 21323003010 35538338350 42646006020 53307507525 71076676700 106615015050 213230030100