Search a number
-
+
1213000020 = 223256738889
BaseRepresentation
bin100100001001100…
…1110100101010100
310010112110210012200
41020103032211110
54441012000040
6320210444500
742026221131
oct11023164524
93115423180
101213000020
11572785961
1229a293730
131643c66bb
14b7155588
1571757630
hex484ce954

1213000020 has 36 divisors (see below), whose sum is σ = 3679433940. Its totient is φ = 323466624.

The previous prime is 1213000003. The next prime is 1213000021. The reversal of 1213000020 is 200003121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 262634436 + 950365584 = 16206^2 + 30828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1212999966 and 1213000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213000021) 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, 3369265 + ... + 3369624.

Almost surely, 21213000020 is an apocalyptic number.

1213000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213000020 is an abundant number, since it is smaller than the sum of its proper divisors (2466433920).

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

1213000020 is a wasteful number, since it uses less digits than its factorization.

1213000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738904 (or 6738899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1213000020 is about 34828.1498216601. The cubic root of 1213000020 is about 1066.4821788138.

Adding to 1213000020 its reverse (200003121), we get a palindrome (1413003141).

The spelling of 1213000020 in words is "one billion, two hundred thirteen million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6738889 13477778 20216667 26955556 33694445 40433334 60650001 67388890 80866668 101083335 121300002 134777780 202166670 242600004 303250005 404333340 606500010 1213000020