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201210021001002 = 231331678314963749
BaseRepresentation
bin101101101111111111011011…
…110100111011011100101010
3222101102111020022121202122010
4231233333123310323130222
5202333111110334013002
61551534335122540350
760244641615161106
oct5557773364733452
9871374208552563
10201210021001002
1159125766358852
121a697a24b076b6
13883703ca07c80
14379888cdba906
15183de038d546c
hexb6ffdbd3b72a

201210021001002 has 128 divisors (see below), whose sum is σ = 459502525440000. Its totient is φ = 58308339006720.

The previous prime is 201210021000979. The next prime is 201210021001027. The reversal of 201210021001002 is 200100120012102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5964624 + ... + 20928372.

It is an arithmetic number, because the mean of its divisors is an integer number (3589863480000).

Almost surely, 2201210021001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201210021001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229751262720000).

201210021001002 is an abundant number, since it is smaller than the sum of its proper divisors (258292504438998).

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

201210021001002 is a wasteful number, since it uses less digits than its factorization.

201210021001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14963948.

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

Adding to 201210021001002 its reverse (200100120012102), we get a palindrome (401310141013104).

The spelling of 201210021001002 in words is "two hundred one trillion, two hundred ten billion, twenty-one million, one thousand, two".

Divisors: 1 2 3 6 13 26 31 39 62 67 78 83 93 134 166 186 201 249 402 403 498 806 871 1079 1209 1742 2077 2158 2418 2573 2613 3237 4154 5146 5226 5561 6231 6474 7719 11122 12462 15438 16683 27001 33366 33449 54002 66898 72293 81003 100347 144586 162006 172391 200694 216879 344782 433758 517173 1034346 2241083 4482166 6723249 13446498 14963749 29927498 44891247 89782494 194528737 389057474 463876219 583586211 927752438 1002571183 1167172422 1241991167 1391628657 2005142366 2483982334 2783257314 3007713549 3725973501 6015427098 6030390847 7451947002 12060781694 13033425379 16145885171 18091172541 26066850758 31079706673 32291770342 36182345082 38501726177 39100276137 48437655513 62159413346 77003452354 78200552274 83213408189 93239120019 96875311026 115505178531 166426816378 186478240038 231010357062 249640224567 404036186749 499280449134 500522440301 808072373498 1001044880602 1081774306457 1212108560247 1501567320903 2163548612914 2424217120494 2579615653859 3003134641806 3245322919371 5159231307718 6490645838742 7738846961577 15477693923154 33535003500167 67070007000334 100605010500501 201210021001002