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21202020001000 = 235364213301981
BaseRepresentation
bin1001101001000011110101…
…10111101110010011101000
32210001220010020011022002001
410310201322313232103220
510234333214110013000
6113032023514220344
74315536551321446
oct464417267562350
983056106138061
1021202020001000
1168347a9611843
1224651157246b4
13baa45a2297b7
1453427cb69b96
1526b7a708546a
hex13487adee4e8

21202020001000 has 64 divisors (see below), whose sum is σ = 49620468465360. Its totient is φ = 8479484640000.

The previous prime is 21202020000919. The next prime is 21202020001067. The reversal of 21202020001000 is 10002020212.

It can be written as a sum of positive squares in 8 ways, for example, as 360316324 + 21201659684676 = 18982^2 + 4604526^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4770010 + ... + 8071990.

Almost surely, 221202020001000 is an apocalyptic number.

21202020001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202020001000 is an abundant number, since it is smaller than the sum of its proper divisors (28418448464360).

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

21202020001000 is a wasteful number, since it uses less digits than its factorization.

21202020001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308423 (or 3308409 counting only the distinct ones).

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

Adding to 21202020001000 its reverse (10002020212), we get a palindrome (21212022021212).

The spelling of 21202020001000 in words is "twenty-one trillion, two hundred two billion, twenty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6421 12842 25684 32105 51368 64210 128420 160525 256840 321050 642100 802625 1284200 1605250 3210500 3301981 6421000 6603962 13207924 16509905 26415848 33019810 66039620 82549525 132079240 165099050 330198100 412747625 660396200 825495250 1650990500 3301981000 21202020001 42404040002 84808080004 106010100005 169616160008 212020200010 424040400020 530050500025 848080800040 1060101000050 2120202000100 2650252500125 4240404000200 5300505000250 10601010000500 21202020001000