Search a number
-
+
1300200200 = 2352134112197
BaseRepresentation
bin100110101111111…
…0111101100001000
310100121120000100222
41031133313230020
510130322401300
6333003445212
744135343065
oct11537675410
93317500328
101300200200
11607a24722
12303526808
131794a8140
14c4973c6c
157922e785
hex4d7f7b08

1300200200 has 96 divisors (see below), whose sum is σ = 3335177160. Its totient is φ = 468326400.

The previous prime is 1300200193. The next prime is 1300200203. The reversal of 1300200200 is 20020031.

It can be written as a sum of positive squares in 12 ways, for example, as 18130564 + 1282069636 = 4258^2 + 35806^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1300200203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100502 + ... + 112698.

Almost surely, 21300200200 is an apocalyptic number.

1300200200 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 1300200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667588580).

1300200200 is an abundant number, since it is smaller than the sum of its proper divisors (2034976960).

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

1300200200 is a wasteful number, since it uses less digits than its factorization.

1300200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1300200200 is about 36058.2889222437. The cubic root of 1300200200 is about 1091.4489050201.

Adding to 1300200200 its reverse (20020031), we get a palindrome (1320220231).

The spelling of 1300200200 in words is "one billion, three hundred million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 130 164 200 205 260 325 328 410 520 533 650 820 1025 1066 1300 1640 2050 2132 2600 2665 4100 4264 5330 8200 10660 12197 13325 21320 24394 26650 48788 53300 60985 97576 106600 121970 158561 243940 304925 317122 487880 500077 609850 634244 792805 1000154 1219700 1268488 1585610 2000308 2439400 2500385 3171220 3964025 4000616 5000770 6342440 6501001 7928050 10001540 12501925 13002002 15856100 20003080 25003850 26004004 31712200 32505005 50007700 52008008 65010010 100015400 130020020 162525025 260040040 325050050 650100100 1300200200