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1213100200 = 2352131134129
BaseRepresentation
bin100100001001110…
…0111000010101000
310010112122212122001
41020103213002220
54441023201300
6320212540344
742030116164
oct11023470250
93115585561
101213100200
11572844154
1229a3216b4
13164430190
14b717dca4
157177716a
hex484e70a8

1213100200 has 96 divisors (see below), whose sum is σ = 3065038200. Its totient is φ = 443842560.

The previous prime is 1213100183. The next prime is 1213100233. The reversal of 1213100200 is 20013121.

It can be written as a sum of positive squares in 12 ways, for example, as 70795396 + 1142304804 = 8414^2 + 33798^2 .

It is a super-2 number, since 2×12131002002 = 2943224190480080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291736 + ... + 295864.

Almost surely, 21213100200 is an apocalyptic number.

1213100200 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 1213100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532519100).

1213100200 is an abundant number, since it is smaller than the sum of its proper divisors (1851938000).

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

1213100200 is a wasteful number, since it uses less digits than its factorization.

1213100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1213100200 is about 34829.5879964148. The cubic root of 1213100200 is about 1066.5115377700.

Adding to 1213100200 its reverse (20013121), we get a palindrome (1233113321).

The spelling of 1213100200 in words is "one billion, two hundred thirteen million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 113 130 200 226 260 325 452 520 565 650 904 1130 1300 1469 2260 2600 2825 2938 4129 4520 5650 5876 7345 8258 11300 11752 14690 16516 20645 22600 29380 33032 36725 41290 53677 58760 73450 82580 103225 107354 146900 165160 206450 214708 268385 293800 412900 429416 466577 536770 825800 933154 1073540 1341925 1866308 2147080 2332885 2683850 3732616 4665770 5367700 6065501 9331540 10735400 11664425 12131002 18663080 23328850 24262004 30327505 46657700 48524008 60655010 93315400 121310020 151637525 242620040 303275050 606550100 1213100200