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20021213121 = 37131923257653
BaseRepresentation
bin10010101001010110…
…110111011111000001
31220200022110000011220
4102221112313133001
5312000412304441
613110404025253
71306100334510
oct225126673701
956608400156
1020021213121
1185444a8828
123a69092229
131b70bc4290
14d7d048677
157c2a5b466
hex4a95b77c1

20021213121 has 128 divisors (see below), whose sum is σ = 36284129280. Its totient is φ = 9517989888.

The previous prime is 20021213077. The next prime is 20021213129. The reversal of 20021213121 is 12131212002.

It is not a de Polignac number, because 20021213121 - 26 = 20021213057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20021213121.

It is not an unprimeable number, because it can be changed into a prime (20021213129) 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 127 ways as a sum of consecutive naturals, for example, 30660031 + ... + 30660683.

It is an arithmetic number, because the mean of its divisors is an integer number (283469760).

Almost surely, 220021213121 is an apocalyptic number.

20021213121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20021213121 is a deficient number, since it is larger than the sum of its proper divisors (16262916159).

20021213121 is a wasteful number, since it uses less digits than its factorization.

20021213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20021213121 its reverse (12131212002), we get a palindrome (32152425123).

It can be divided in two parts, 2002 and 1213121, that multiplied together give a palindrome (2428668242).

The spelling of 20021213121 in words is "twenty billion, twenty-one million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 13 19 21 23 39 57 69 91 133 161 247 257 273 299 399 437 483 653 741 771 897 1311 1729 1799 1959 2093 3059 3341 4571 4883 5187 5397 5681 5911 6279 8489 9177 10023 12407 13713 14649 15019 17043 17733 23387 25467 34181 37221 39767 41377 45057 59423 63479 70161 76843 86849 102543 105133 112309 119301 124131 161291 167821 178269 190437 195247 230529 260547 285361 315399 336927 444353 483873 503463 537901 585741 786163 856083 1129037 1174747 1333059 1366729 1460017 1613703 1997527 2181673 2358489 3188599 3387111 3524241 3709693 3859883 4100187 4380051 5992581 6545019 9565797 10220119 11129079 11579649 15271711 22320193 25967851 27019181 30660357 41451787 45815133 50178479 66960579 73337777 77903553 81057543 124355361 150535437 220013331 290162509 351249353 513364439 870487527 953391101 1053748059 1540093317 2860173303 6673737707 20021213121