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20331322000200 = 23325211295178889
BaseRepresentation
bin1001001111101110000010…
…01110011100001101001000
32122222122200210021000010100
410213313001032130031020
510131102021413001300
6111124025210245400
74165614053403141
oct447670116341510
978878623230110
1020331322000200
116529513261712
12234441a726860
13b4630a346373
14504081214ac8
15253ce7257700
hex127dc139c348

20331322000200 has 72 divisors (see below), whose sum is σ = 68279356390050. Its totient is φ = 5421685866240.

The previous prime is 20331322000153. The next prime is 20331322000201. The reversal of 20331322000200 is 200022313302.

It is a happy number.

20331322000200 is a `hidden beast` number, since 203 + 31 + 32 + 200 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18097690123044 + 2233631877156 = 4254138^2 + 1494534^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (20331322000201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5647587645 + ... + 5647591244.

Almost surely, 220331322000200 is an apocalyptic number.

20331322000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20331322000200 is an abundant number, since it is smaller than the sum of its proper divisors (47948034389850).

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

20331322000200 is a wasteful number, since it uses less digits than its factorization.

20331322000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295178911 (or 11295178899 counting only the distinct ones).

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

Adding to 20331322000200 its reverse (200022313302), we get a palindrome (20531344313502).

The spelling of 20331322000200 in words is "twenty trillion, three hundred thirty-one billion, three hundred twenty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11295178889 22590357778 33885536667 45180715556 56475894445 67771073334 90361431112 101656610001 112951788890 135542146668 169427683335 203313220002 225903577780 271084293336 282379472225 338855366670 406626440004 451807155560 508283050005 564758944450 677710733340 813252880008 847138416675 1016566100010 1129517888900 1355421466680 1694276833350 2033132200020 2259035777800 2541415250025 3388553666700 4066264400040 5082830500050 6777107333400 10165661000100 20331322000200