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2133200100 = 2235239717911
BaseRepresentation
bin111111100100110…
…0000110011100100
312111122222210102010
41333021200303210
513332044400400
6551401514220
7103601621163
oct17711406344
95448883363
102133200100
119a5154899
124b64a2970
1327cc435a5
1416344d3da
15c7424450
hex7f260ce4

2133200100 has 72 divisors (see below), whose sum is σ = 6187951168. Its totient is φ = 567388800.

The previous prime is 2133200089. The next prime is 2133200123. The reversal of 2133200100 is 10023312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 110145 + ... + 128055.

Almost surely, 22133200100 is an apocalyptic number.

2133200100 is a gapful number since it is divisible by the number (20) 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 2133200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093975584).

2133200100 is an abundant number, since it is smaller than the sum of its proper divisors (4054751068).

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

2133200100 is a wasteful number, since it uses less digits than its factorization.

2133200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18325 (or 18318 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2133200100 is about 46186.5792195092. The cubic root of 2133200100 is about 1287.2923798810.

Adding to 2133200100 its reverse (10023312), we get a palindrome (2143223412).

The spelling of 2133200100 in words is "two billion, one hundred thirty-three million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 397 794 1191 1588 1985 2382 3970 4764 5955 7940 9925 11910 17911 19850 23820 29775 35822 39700 53733 59550 71644 89555 107466 119100 179110 214932 268665 358220 447775 537330 895550 1074660 1343325 1791100 2686650 5373300 7110667 14221334 21332001 28442668 35553335 42664002 71106670 85328004 106660005 142213340 177766675 213320010 355533350 426640020 533300025 711066700 1066600050 2133200100