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1213113200 = 2452131713723
BaseRepresentation
bin100100001001110…
…1010001101110000
310010112200112110112
41020103222031300
54441024110300
6320213120452
742030202115
oct11023521560
93115615415
101213113200
115728529a2
1229a329128
13164436080
14b718490c
157177ae35
hex484ea370

1213113200 has 120 divisors (see below), whose sum is σ = 3323568528. Its totient is φ = 421539840.

The previous prime is 1213113199. The next prime is 1213113203. The reversal of 1213113200 is 23113121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213113203) 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 23 ways as a sum of consecutive naturals, for example, 81539 + ... + 95261.

Almost surely, 21213113200 is an apocalyptic number.

1213113200 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 1213113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661784264).

1213113200 is an abundant number, since it is smaller than the sum of its proper divisors (2110455328).

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

1213113200 is a wasteful number, since it uses less digits than its factorization.

1213113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1213113200 is about 34829.7746188516. The cubic root of 1213113200 is about 1066.5153474582.

Adding to 1213113200 its reverse (23113121), we get a palindrome (1236226321).

The spelling of 1213113200 in words is "one billion, two hundred thirteen million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 325 340 400 425 442 520 650 680 850 884 1040 1105 1300 1360 1700 1768 2210 2600 3400 3536 4420 5200 5525 6800 8840 11050 13723 17680 22100 27446 44200 54892 68615 88400 109784 137230 178399 219568 233291 274460 343075 356798 466582 548920 686150 713596 891995 933164 1097840 1166455 1372300 1427192 1783990 1866328 2332910 2744600 2854384 3032783 3567980 3732656 4459975 4665820 5489200 5832275 6065566 7135960 8919950 9331640 11664550 12131132 14271920 15163915 17839900 18663280 23329100 24262264 30327830 35679800 46658200 48524528 60655660 71359600 75819575 93316400 121311320 151639150 242622640 303278300 606556600 1213113200