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12002201300 = 2252120022013
BaseRepresentation
bin10110010110110001…
…10000111011010100
31010222110020222222002
423023120300323110
5144040030420200
65302544454432
7603266012345
oct131330607324
933873228862
1012002201300
1150a9a25531
1223ab61a418
13119375577b
1481c0320cc
154a3a57bd5
hex2cb630ed4

12002201300 has 18 divisors (see below), whose sum is σ = 26044777038. Its totient is φ = 4800880480.

The previous prime is 12002201291. The next prime is 12002201317. The reversal of 12002201300 is 310220021.

It is a happy number.

12002201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 369715984 + 11632485316 = 19228^2 + 107854^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60010907 + ... + 60011106.

Almost surely, 212002201300 is an apocalyptic number.

12002201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002201300 is an abundant number, since it is smaller than the sum of its proper divisors (14042575738).

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

12002201300 is a wasteful number, since it uses less digits than its factorization.

12002201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120022027 (or 120022020 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12002201300 its reverse (310220021), we get a palindrome (12312421321).

The spelling of 12002201300 in words is "twelve billion, two million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120022013 240044026 480088052 600110065 1200220130 2400440260 3000550325 6001100650 12002201300