Search a number
-
+
20002100012200 = 2352197641791993
BaseRepresentation
bin1001000110001000110100…
…00100001110010010101000
32121211011220202000011211101
410203010122010032102220
510110203300100342300
6110312500552411144
74133050453566265
oct443043204162250
977734822004741
1020002100012200
116411930004309
1222b065a9a6ab4
13b212613a72c7
144d216d10c26c
1524a479401b6a
hex12311a10e4a8

20002100012200 has 96 divisors (see below), whose sum is σ = 46813925826360. Its totient is φ = 7947798118400.

The previous prime is 20002100012197. The next prime is 20002100012203. The reversal of 20002100012200 is 221000120002.

It is an interprime number because it is at equal distance from previous prime (20002100012197) and next prime (20002100012203).

It can be written as a sum of positive squares in 12 ways, for example, as 9622143433764 + 10379956578436 = 3101958^2 + 3221794^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20002100012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24859404 + ... + 25651396.

Almost surely, 220002100012200 is an apocalyptic number.

20002100012200 is a gapful number since it is divisible by the number (20) 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 20002100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23406962913180).

20002100012200 is an abundant number, since it is smaller than the sum of its proper divisors (26811825814160).

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

20002100012200 is a wasteful number, since it uses less digits than its factorization.

20002100012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792847 (or 792838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20002100012200 its reverse (221000120002), we get a palindrome (20223100132202).

The spelling of 20002100012200 in words is "twenty trillion, two billion, one hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 641 788 985 1282 1576 1970 2564 3205 3940 4925 5128 6410 7880 9850 12820 16025 19700 25640 32050 39400 64100 126277 128200 252554 505108 631385 791993 1010216 1262770 1583986 2525540 3156925 3167972 3959965 5051080 6313850 6335944 7919930 12627700 15839860 19799825 25255400 31679720 39599650 79199300 156022621 158398600 312045242 507667513 624090484 780113105 1015335026 1248180968 1560226210 2030670052 2538337565 3120452420 3900565525 4061340104 5076675130 6240904840 7801131050 10153350260 12691687825 15602262100 20306700520 25383375650 31204524200 50766751300 100010500061 101533502600 200021000122 400042000244 500052500305 800084000488 1000105000610 2000210001220 2500262501525 4000420002440 5000525003050 10001050006100 20002100012200