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20203002000 = 2432531122389
BaseRepresentation
bin10010110100001100…
…010101100010010000
31221010222111211122100
4102310030111202100
5312333432031000
613140420240400
71313435453316
oct226414254220
957128454570
1020203002000
118628082475
123ab9b40100
131b9c77346c
14d9924a0b6
157d39b9a00
hex4b4315890

20203002000 has 120 divisors (see below), whose sum is σ = 70562414520. Its totient is φ = 5387462400.

The previous prime is 20203001999. The next prime is 20203002019. The reversal of 20203002000 is 20030202.

It can be written as a sum of positive squares in 4 ways, for example, as 328769424 + 19874232576 = 18132^2 + 140976^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×202030020002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543195 + ... + 579194.

It is an arithmetic number, because the mean of its divisors is an integer number (588020121).

Almost surely, 220203002000 is an apocalyptic number.

20203002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20203002000 is an abundant number, since it is smaller than the sum of its proper divisors (50359412520).

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

20203002000 is a wasteful number, since it uses less digits than its factorization.

20203002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122418 (or 1122399 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 20203002000 its reverse (20030202), we get a palindrome (20223032202).

The spelling of 20203002000 in words is "twenty billion, two hundred three million, two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 1122389 2244778 3367167 4489556 5611945 6734334 8979112 10101501 11223890 13468668 16835835 17958224 20203002 22447780 26937336 28059725 33671670 40406004 44895560 50507505 53874672 56119450 67343340 80812008 84179175 89791120 101015010 112238900 134686680 140298625 161624016 168358350 202030020 224477800 252537525 269373360 280597250 336716700 404060040 420895875 448955600 505075050 561194500 673433400 808120080 841791750 1010150100 1122389000 1262687625 1346866800 1683583500 2020300200 2244778000 2525375250 3367167000 4040600400 5050750500 6734334000 10101501000 20203002000