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1213412200 = 23527112131929
BaseRepresentation
bin100100001010011…
…0011001101101000
310010120020201121121
41020110303031220
54441113142300
6320223345024
742032555620
oct11024631550
93116221547
101213412200
11572a37600
1229a452174
1316450c1b0
14b7221880
15717d981a
hex48533368

1213412200 has 576 divisors, whose sum is σ = 4155984000. Its totient is φ = 319334400.

The previous prime is 1213412197. The next prime is 1213412209. The reversal of 1213412200 is 22143121.

It is not an unprimeable number, because it can be changed into a prime (1213412209) 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 143 ways as a sum of consecutive naturals, for example, 41841786 + ... + 41841814.

It is an arithmetic number, because the mean of its divisors is an integer number (7215250).

Almost surely, 21213412200 is an apocalyptic number.

1213412200 is a gapful number since it is divisible by the number (10) 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 1213412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077992000).

1213412200 is an abundant number, since it is smaller than the sum of its proper divisors (2942571800).

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

1213412200 is a wasteful number, since it uses less digits than its factorization.

1213412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1213412200 is about 34834.0666589475. The cubic root of 1213412200 is about 1066.6029627754.

Adding to 1213412200 its reverse (22143121), we get a palindrome (1235555321).

The spelling of 1213412200 in words is "one billion, two hundred thirteen million, four hundred twelve thousand, two hundred".