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20020210002212 = 22741101539931981
BaseRepresentation
bin1001000110101010100011…
…00000010110100100100100
32121212220122212010222210012
410203111101200112210210
510111002342230032322
6110325054004345352
74134261316142060
oct443252140264444
977786585128705
1020020210002212
116419583690902
1222b40739a5258
13b22b89338524
144d2daa3aaaa0
1524ab89284ae2
hex123551816924

20020210002212 has 96 divisors (see below), whose sum is σ = 41432092531200. Its totient is φ = 8286145920000.

The previous prime is 20020210002211. The next prime is 20020210002259. The reversal of 20020210002212 is 21220001202002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20020210002211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625987262 + ... + 626019242.

It is an arithmetic number, because the mean of its divisors is an integer number (431584297200).

Almost surely, 220020210002212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020210002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716046265600).

20020210002212 is an abundant number, since it is smaller than the sum of its proper divisors (21411882528988).

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

20020210002212 is a wasteful number, since it uses less digits than its factorization.

20020210002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37533 (or 37531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20020210002212 its reverse (21220001202002), we get a palindrome (41240211204214).

The spelling of 20020210002212 in words is "twenty trillion, twenty billion, two hundred ten million, two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 41 82 101 164 202 287 404 574 707 1148 1414 2828 4141 5399 8282 10798 16564 21596 28987 31981 37793 57974 63962 75586 115948 127924 151172 221359 223867 442718 447734 545299 885436 895468 1090598 1311221 1549513 2181196 2622442 3099026 3230081 3817093 5244884 6198052 6460162 7634186 9178547 12920324 15268372 18357094 22357259 22610567 36714188 44714518 45221134 89429036 90442268 132433321 156500813 172665419 264866642 313001626 345330838 529733284 626003252 690661676 927033247 1208657933 1854066494 2417315866 3708132988 4834631732 7079282179 14158564358 17439207319 28317128716 34878414638 49554975253 69756829276 99109950506 122074451233 198219901012 244148902466 488297804932 715007500079 1430015000158 2860030000316 5005052500553 10010105001106 20020210002212