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1351424100 = 22352131732003
BaseRepresentation
bin101000010001101…
…0001100001100100
310111011221110100110
41100203101201210
510231431032400
6342033413020
745326625645
oct12043214144
93434843313
101351424100
11633930a24
1231870a170
13186ca1640
14cb6a96cc
157d99be50
hex508d1864

1351424100 has 144 divisors (see below), whose sum is σ = 4237353792. Its totient is φ = 330570240.

The previous prime is 1351424093. The next prime is 1351424101. The reversal of 1351424100 is 14241531.

It is not an unprimeable number, because it can be changed into a prime (1351424101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673699 + ... + 675701.

It is an arithmetic number, because the mean of its divisors is an integer number (29426068).

Almost surely, 21351424100 is an apocalyptic number.

1351424100 is a gapful number since it is divisible by the number (10) 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 1351424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118676896).

1351424100 is an abundant number, since it is smaller than the sum of its proper divisors (2885929692).

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

1351424100 is a wasteful number, since it uses less digits than its factorization.

1351424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1351424100 is about 36761.7205799729. The cubic root of 1351424100 is about 1105.5979374097.

Adding to 1351424100 its reverse (14241531), we get a palindrome (1365665631).

The spelling of 1351424100 in words is "one billion, three hundred fifty-one million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 173 195 260 300 325 346 390 519 650 692 780 865 975 1038 1300 1730 1950 2003 2076 2249 2595 3460 3900 4006 4325 4498 5190 6009 6747 8012 8650 8996 10015 10380 11245 12018 12975 13494 17300 20030 22490 24036 25950 26039 26988 30045 33735 40060 44980 50075 51900 52078 56225 60090 67470 78117 100150 104156 112450 120180 130195 134940 150225 156234 168675 200300 224900 260390 300450 312468 337350 346519 390585 520780 600900 650975 674700 693038 781170 1039557 1301950 1386076 1562340 1732595 1952925 2079114 2603900 3465190 3905850 4158228 4504747 5197785 6930380 7811700 8662975 9009494 10395570 13514241 17325950 18018988 20791140 22523735 25988925 27028482 34651900 45047470 51977850 54056964 67571205 90094940 103955700 112618675 135142410 225237350 270284820 337856025 450474700 675712050 1351424100