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1200001300 = 225214980537
BaseRepresentation
bin100011110000110…
…1001000100010100
310002122000101022121
41013201221010110
54424200020200
6315024105324
741510562031
oct10741510424
93078011277
101200001300
11566407813
12295a65244
131617c4c54
14b5530388
157053ae1a
hex47869114

1200001300 has 36 divisors (see below), whose sum is σ = 2621511900. Its totient is φ = 476773120.

The previous prime is 1200001291. The next prime is 1200001303. The reversal of 1200001300 is 31000021.

1200001300 is digitally balanced in base 6, 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 6 ways, for example, as 172029456 + 1027971844 = 13116^2 + 32062^2 .

1200001300 is a modest number, since divided by 1300 gives 1200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200001303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25369 + ... + 55168.

It is an arithmetic number, because the mean of its divisors is an integer number (72819775).

Almost surely, 21200001300 is an apocalyptic number.

1200001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200001300 is an abundant number, since it is smaller than the sum of its proper divisors (1421510600).

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

1200001300 is a wasteful number, since it uses less digits than its factorization.

1200001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80700 (or 80693 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1200001300 is about 34641.0349152562. The cubic root of 1200001300 is about 1062.6589529203.

Adding to 1200001300 its reverse (31000021), we get a palindrome (1231001321).

The spelling of 1200001300 in words is "one billion, two hundred million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 80537 161074 322148 402685 805370 1610740 2013425 4026850 8053700 12000013 24000026 48000052 60000065 120000130 240000260 300000325 600000650 1200001300