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200022102010200 = 233521719610010001
BaseRepresentation
bin101101011110101101000110…
…010101100110100101011000
3222020012221000012110111201210
4231132231012111212211120
5202204130231103311300
61545224515104143120
760063056103310161
oct5536550625464530
9866187005414653
10200022102010200
1158807996023788
121a525759307aa0
13877c0072a9622
14375719b15a768
15181d07961d050
hexb5eb46566958

200022102010200 has 96 divisors (see below), whose sum is σ = 656543134866960. Its totient is φ = 50201625600000.

The previous prime is 200022102010153. The next prime is 200022102010201. The reversal of 200022102010200 is 2010201220002.

200022102010200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (200022102010201) 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, 9804994801 + ... + 9805015200.

Almost surely, 2200022102010200 is an apocalyptic number.

200022102010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022102010200 is an abundant number, since it is smaller than the sum of its proper divisors (456521032856760).

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

200022102010200 is a wasteful number, since it uses less digits than its factorization.

200022102010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19610010037 (or 19610010028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200022102010200 its reverse (2010201220002), we get a palindrome (202032303230202).

The spelling of 200022102010200 in words is "two hundred trillion, twenty-two billion, one hundred two million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 19610010001 39220020002 58830030003 78440040004 98050050005 117660060006 156880080008 196100100010 235320120012 294150150015 333370170017 392200200020 470640240024 490250250025 588300300030 666740340034 784400400040 980500500050 1000110510051 1176600600060 1333480680068 1470750750075 1666850850085 1961001000100 2000221020102 2353201200120 2666961360136 2941501500150 3333701700170 3922002000200 4000442040204 5000552550255 5883003000300 6667403400340 8000884080408 8334254250425 10001105100510 11766006000600 13334806800680 16668508500850 20002210201020 25002762751275 33337017001700 40004420402040 50005525502550 66674034003400 100011051005100 200022102010200