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2002011300 = 2232522224457
BaseRepresentation
bin111011101010100…
…0100010010100100
312011112010201012200
41313111010102210
513100003330200
6530354014500
7100416546432
oct16725042244
95145121180
102002011300
119380a07a3
1247a577430
1325b9cc993
1414dc5dd52
15bab5d800
hex775444a4

2002011300 has 54 divisors (see below), whose sum is σ = 6275196018. Its totient is φ = 533869440.

The previous prime is 2002011269. The next prime is 2002011311. The reversal of 2002011300 is 31102002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 535274496 + 1466736804 = 23136^2 + 38298^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1111329 + ... + 1113128.

Almost surely, 22002011300 is an apocalyptic number.

2002011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011300 is an abundant number, since it is smaller than the sum of its proper divisors (4273184718).

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

2002011300 is a wasteful number, since it uses less digits than its factorization.

2002011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224477 (or 2224467 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2002011300 is about 44743.8409169351. The cubic root of 2002011300 is about 1260.3432549309.

Adding to 2002011300 its reverse (31102002), we get a palindrome (2033113302).

The spelling of 2002011300 in words is "two billion, two million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2224457 4448914 6673371 8897828 11122285 13346742 20020113 22244570 26693484 33366855 40040226 44489140 55611425 66733710 80080452 100100565 111222850 133467420 166834275 200201130 222445700 333668550 400402260 500502825 667337100 1001005650 2002011300