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20300014200 = 23352191780703
BaseRepresentation
bin10010111001111110…
…011010001001111000
31221101202001120100210
4102321332122021320
5313033300423300
613154203431120
71316024162604
oct227176321170
957352046323
1020300014200
118677913144
123b265254a0
131bb68ac02b
14da80a0504
157dc27e050
hex4b9f9a278

20300014200 has 96 divisors (see below), whose sum is σ = 66242188800. Its totient is φ = 5128421760.

The previous prime is 20300014187. The next prime is 20300014201. The reversal of 20300014200 is 241000302.

It is a super-3 number, since 3×203000142003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300014201) 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 23 ways as a sum of consecutive naturals, for example, 878952 + ... + 901751.

It is an arithmetic number, because the mean of its divisors is an integer number (690022800).

Almost surely, 220300014200 is an apocalyptic number.

20300014200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20300014200 is an abundant number, since it is smaller than the sum of its proper divisors (45942174600).

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

20300014200 is a wasteful number, since it uses less digits than its factorization.

20300014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780741 (or 1780732 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20300014200 its reverse (241000302), we get a palindrome (20541014502).

The spelling of 20300014200 in words is "twenty billion, three hundred million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1780703 3561406 5342109 7122812 8903515 10684218 14245624 17807030 21368436 26710545 33833357 35614060 42736872 44517575 53421090 67666714 71228120 89035150 101500071 106842180 133552725 135333428 169166785 178070300 203000142 213684360 267105450 270666856 338333570 356140600 406000284 507500355 534210900 676667140 812000568 845833925 1015000710 1068421800 1353334280 1691667850 2030001420 2537501775 3383335700 4060002840 5075003550 6766671400 10150007100 20300014200