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20430312300 = 22325241553667
BaseRepresentation
bin10011000001101111…
…011101001101101100
31221201211020101202100
4103001233131031230
5313320124443200
613215140255100
71322165534466
oct230157351554
957654211670
1020430312300
118734419022
123b620a1490
131c078a03b8
14dbb4db136
157e891ad00
hex4c1bdd36c

20430312300 has 108 divisors (see below), whose sum is σ = 65599691976. Its totient is φ = 5315193600.

The previous prime is 20430312271. The next prime is 20430312307. The reversal of 20430312300 is 321303402.

20430312300 is a `hidden beast` number, since 2 + 0 + 430 + 3 + 1 + 230 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20430312307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239934 + ... + 313733.

Almost surely, 220430312300 is an apocalyptic number.

20430312300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20430312300 is an abundant number, since it is smaller than the sum of its proper divisors (45169379676).

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

20430312300 is a wasteful number, since it uses less digits than its factorization.

20430312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553728 (or 553718 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20430312300 its reverse (321303402), we get a palindrome (20751615702).

The spelling of 20430312300 in words is "twenty billion, four hundred thirty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 553667 1107334 1661001 2214668 2768335 3322002 4983003 5536670 6644004 8305005 9966006 11073340 13841675 16610010 19932012 22700347 24915015 27683350 33220020 41525025 45400694 49830030 55366700 68101041 83050050 90801388 99660060 113501735 124575075 136202082 166100100 204303123 227003470 249150150 272404164 340505205 408606246 454006940 498300300 567508675 681010410 817212492 1021515615 1135017350 1362020820 1702526025 2043031230 2270034700 3405052050 4086062460 5107578075 6810104100 10215156150 20430312300