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20021221011 = 311175359101113
BaseRepresentation
bin10010101001010110…
…111001011010010011
31220200022110102000010
4102221112321122103
5312000413033021
613110404130003
71306100366511
oct225126713223
956608412003
1020021221011
118544503750
123a69096903
131b70bc7a4c
14d7d04b4b1
157c2a5d976
hex4a95b9693

20021221011 has 128 divisors (see below), whose sum is σ = 32550958080. Its totient is φ = 10809344000.

The previous prime is 20021220953. The next prime is 20021221027. The reversal of 20021221011 is 11012212002.

It is a cyclic number.

It is not a de Polignac number, because 20021221011 - 214 = 20021204627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20021221091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177178891 + ... + 177179003.

It is an arithmetic number, because the mean of its divisors is an integer number (254304360).

Almost surely, 220021221011 is an apocalyptic number.

20021221011 is a deficient number, since it is larger than the sum of its proper divisors (12529737069).

20021221011 is a wasteful number, since it uses less digits than its factorization.

20021221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021221011 its reverse (11012212002), we get a palindrome (31033433013).

Subtracting from 20021221011 its reverse (11012212002), we obtain a palindrome (9009009009).

The spelling of 20021221011 in words is "twenty billion, twenty-one million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 11 17 33 51 53 59 101 113 159 177 187 303 339 561 583 649 901 1003 1111 1243 1717 1749 1921 1947 2703 3009 3127 3333 3729 5151 5353 5763 5959 5989 6667 9381 9911 11033 11413 16059 17877 17967 18887 20001 21131 29733 33099 34239 34397 53159 56661 58883 63393 65549 65879 73337 91001 101303 101813 103191 113339 125543 159477 176649 194021 196647 197637 220011 273003 303909 305439 315827 340017 353351 376629 582063 584749 604889 673367 947481 1001011 1060053 1114333 1119943 1246729 1754247 1814667 2020101 2134231 3003033 3342999 3359829 3474097 3740187 3886861 5369059 6006967 6402693 6653779 7407037 10283113 10422291 11447239 11660583 16107177 18020901 19961337 22221111 30849339 34341717 35688451 59059649 66076637 107065353 113114243 125919629 177178947 198229911 339342729 377758887 392572961 606703667 1177718883 1820111001 6673740337 20021221011