Search a number
-
+
213452703600 = 24352177877253
BaseRepresentation
bin1100011011001011000…
…1011100011101110000
3202101221212220211112220
43012302301130131300
511444122343003400
6242020412121040
721264362021133
oct3066261343560
9671855824486
10213452703600
1182585539564
1235450a66180
1317189426316
14a48ca1021a
1558444ea7a0
hex31b2c5c770

213452703600 has 60 divisors (see below), whose sum is σ = 683760164376. Its totient is φ = 56920720640.

The previous prime is 213452703559. The next prime is 213452703601. The reversal of 213452703600 is 6307254312.

213452703600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213452703601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88937427 + ... + 88939826.

Almost surely, 2213452703600 is an apocalyptic number.

213452703600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213452703600 is an abundant number, since it is smaller than the sum of its proper divisors (470307460776).

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

213452703600 is a wasteful number, since it uses less digits than its factorization.

213452703600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177877274 (or 177877263 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 213452703600 its reverse (6307254312), we get a palindrome (219759957912).

It can be divided in two parts, 21345 and 2703600, that added together give a triangular number (2724945 = T2334).

The spelling of 213452703600 in words is "two hundred thirteen billion, four hundred fifty-two million, seven hundred three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 177877253 355754506 533631759 711509012 889386265 1067263518 1423018024 1778772530 2134527036 2668158795 2846036048 3557545060 4269054072 4446931325 5336317590 7115090120 8538108144 8893862650 10672635180 13340793975 14230180240 17787725300 21345270360 26681587950 35575450600 42690540720 53363175900 71150901200 106726351800 213452703600