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10201330200 = 2335217002217
BaseRepresentation
bin10011000000000101…
…11111001000011000
3222022221121021020110
421200002333020120
5131343020031300
64404133524320
7510540606315
oct114002771030
928287537213
1010201330200
114365426406
121b884a36a0
13c6761c079
146cabadd0c
153ea8cb550
hex2600bf218

10201330200 has 48 divisors (see below), whose sum is σ = 31624125480. Its totient is φ = 2720354560.

The previous prime is 10201330193. The next prime is 10201330207. The reversal of 10201330200 is 203310201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201330193) and next prime (10201330207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201330207) 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 11 ways as a sum of consecutive naturals, for example, 8500509 + ... + 8501708.

Almost surely, 210201330200 is an apocalyptic number.

10201330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201330200 is an abundant number, since it is smaller than the sum of its proper divisors (21422795280).

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

10201330200 is a wasteful number, since it uses less digits than its factorization.

10201330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17002236 (or 17002227 counting only the distinct ones).

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

Adding to 10201330200 its reverse (203310201), we get a palindrome (10404640401).

The spelling of 10201330200 in words is "ten billion, two hundred one million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 17002217 34004434 51006651 68008868 85011085 102013302 136017736 170022170 204026604 255033255 340044340 408053208 425055425 510066510 680088680 850110850 1020133020 1275166275 1700221700 2040266040 2550332550 3400443400 5100665100 10201330200