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21000002002021 = 7217341251893
BaseRepresentation
bin1001100011001011100011…
…01010001101110001100101
32202100120200020122122101201
410301211301222031301211
510223031001003031041
6112355133455322501
74265125424546500
oct461456152156145
982316606578351
1021000002002021
116767061730099
122431b36220431
13b943a3b008b3
14528596a66137
152663d1895631
hex131971a8dc65

21000002002021 has 72 divisors (see below), whose sum is σ = 26604051729480. Its totient is φ = 16527660119040.

The previous prime is 21000002002013. The next prime is 21000002002037. The reversal of 21000002002021 is 12020020000012.

It can be written as a sum of positive squares in 12 ways, for example, as 17633826540225 + 3366175461796 = 4199265^2 + 1834714^2 .

It is not a de Polignac number, because 21000002002021 - 23 = 21000002002013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21000002001989 and 21000002002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000002002121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404652951 + ... + 404704843.

It is an arithmetic number, because the mean of its divisors is an integer number (369500718465).

Almost surely, 221000002002021 is an apocalyptic number.

It is an amenable number.

21000002002021 is a deficient number, since it is larger than the sum of its proper divisors (5604049727459).

21000002002021 is an frugal number, since it uses more digits than its factorization.

21000002002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52040 (or 51958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21000002002021 its reverse (12020020000012), we get a palindrome (33020022002033).

The spelling of 21000002002021 in words is "twenty-one trillion, two million, two thousand, twenty-one".

Divisors: 1 7 17 41 49 119 287 289 697 833 1681 2009 2023 4879 4913 11767 11849 14161 28577 34153 34391 51893 82369 82943 200039 201433 240737 363251 485809 580601 882181 1400273 1410031 2127613 2542757 3400663 6175267 8258753 9870217 14893291 14997077 23804641 36169421 43226869 57811271 87232133 104253037 104979539 253185947 254950309 404678897 610624931 614880157 734856773 1482946261 1772301629 1784652163 4274374517 4304161099 10380623827 10452962669 12492565141 25210086437 30129127693 72664366789 73170738683 176470605059 428571469429 512195170781 1235294235413 3000000286003 21000002002021