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2020202121200 = 245210160183203
BaseRepresentation
bin11101011001011101011…
…011100000011111110000
321011010111100200221101012
4131121131123200133300
5231044333220334300
64144022410330052
7265645330462424
oct35313533403760
97133440627335
102020202121200
1170984348151a
12287641729928
13118672a89943
146dac794ab84
153783b871435
hex1d65d6e07f0

2020202121200 has 120 divisors (see below), whose sum is σ = 4909805137776. Its totient is φ = 798739200000.

The previous prime is 2020202121199. The next prime is 2020202121209. The reversal of 2020202121200 is 21212020202.

It is a super-2 number, since 2×20202021212002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020202121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24238799 + ... + 24322001.

Almost surely, 22020202121200 is an apocalyptic number.

2020202121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020202121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454902568888).

2020202121200 is an abundant number, since it is smaller than the sum of its proper divisors (2889603016576).

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

2020202121200 is a wasteful number, since it uses less digits than its factorization.

2020202121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83923 (or 83912 counting only the distinct ones).

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

Adding to 2020202121200 its reverse (21212020202), we get a palindrome (2041414141402).

The spelling of 2020202121200 in words is "two trillion, twenty billion, two hundred two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 601 808 1010 1202 1616 2020 2404 2525 3005 4040 4808 5050 6010 8080 9616 10100 12020 15025 20200 24040 30050 40400 48080 60100 60701 83203 120200 121402 166406 240400 242804 303505 332812 416015 485608 607010 665624 832030 971216 1214020 1331248 1517525 1664060 2080075 2428040 3035050 3328120 4160150 4856080 6070100 6656240 8320300 8403503 12140200 16640600 16807006 24280400 33281200 33614012 42017515 50005003 67228024 84035030 100010006 134456048 168070060 200020012 210087575 250025015 336140120 400040024 420175150 500050030 672280240 800080048 840350300 1000100060 1250125075 1680700600 2000200120 2500250150 3361401200 4000400240 5000500300 5050505303 10001000600 10101010606 20002001200 20202021212 25252526515 40404042424 50505053030 80808084848 101010106060 126262632575 202020212120 252525265150 404040424240 505050530300 1010101060600 2020202121200