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20021003002 = 272111311171279
BaseRepresentation
bin10010101001010110…
…000100001011111010
31220200022001022221201
4102221112010023322
5312000334044002
613110355324414
71306065501100
oct225126041372
956608038851
1020021003002
118544374980
123a68bb070a
131b70b4c750
14d7cdd1c70
157c2a19087
hex4a95842fa

20021003002 has 96 divisors (see below), whose sum is σ = 41110917120. Its totient is φ = 7188289920.

The previous prime is 20021002987. The next prime is 20021003033. The reversal of 20021003002 is 20030012002.

It is a super-2 number, since 2×200210030022 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20021003002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15652999 + ... + 15654277.

It is an arithmetic number, because the mean of its divisors is an integer number (428238720).

Almost surely, 220021003002 is an apocalyptic number.

20021003002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20021003002 is an abundant number, since it is smaller than the sum of its proper divisors (21089914118).

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

20021003002 is a wasteful number, since it uses less digits than its factorization.

20021003002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20021003002 its reverse (20030012002), we get a palindrome (40051015004).

The spelling of 20021003002 in words is "twenty billion, twenty-one million, three thousand, two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1117 1274 1279 2002 2234 2558 7007 7819 8953 12287 14014 14069 14521 15638 16627 17906 24574 28138 29042 33254 54733 62671 86009 98483 101647 109466 116389 125342 159731 172018 182897 196966 203294 232778 319462 365794 602063 689381 711529 814723 1118117 1204126 1280279 1378762 1423058 1428643 1629446 2236234 2560558 2857286 7826819 8961953 10000501 15653638 15715073 17923906 18572359 20001002 31430146 37144718 70003507 110005511 130006513 140007014 204295949 220011022 260013026 408591898 770038577 910045591 1430071643 1540077154 1820091182 2860143286 10010501501 20021003002