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20211221100212 = 2217229602888113
BaseRepresentation
bin1001001100001110010101…
…01001110111011010110100
32122120011200202020010212022
410212013022221313122310
510122120040100201322
6110552523511212312
74154132620526522
oct446071251673264
978504622203768
1020211221100212
11649259245097a
1223250a1077098
13b37baa29197c
144dc32a725312
15250b184c0942
hex1261caa776b4

20211221100212 has 36 divisors (see below), whose sum is σ = 38868196709580. Its totient is φ = 9183191721984.

The previous prime is 20211221100211. The next prime is 20211221100251. The reversal of 20211221100212 is 21200112211202.

It can be written as a sum of positive squares in 6 ways, for example, as 44421463696 + 20166799636516 = 210764^2 + 4490746^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211221100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301410533 + ... + 301477580.

Almost surely, 220211221100212 is an apocalyptic number.

It is an amenable number.

20211221100212 is a deficient number, since it is larger than the sum of its proper divisors (18656975609368).

20211221100212 is a wasteful number, since it uses less digits than its factorization.

20211221100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602888180 (or 602888161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20211221100212 its reverse (21200112211202), we get a palindrome (41411333311414).

The spelling of 20211221100212 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 17 29 34 58 68 116 289 493 578 986 1156 1972 8381 16762 33524 602888113 1205776226 2411552452 10249097921 17483755277 20498195842 34967510554 40996391684 69935021108 174234664657 297223839709 348469329314 594447679418 696938658628 1188895358836 5052805275053 10105610550106 20211221100212