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2002101221200 = 24525005253053
BaseRepresentation
bin11101001000100110100…
…010000011011101010000
321002101202212122221120111
4131020212202003131100
5230300300403034300
64131430321251104
7264434635406263
oct35104642033520
97071685587514
102002101221200
117020a4a43433
1228402b793a94
13116a4998c022
146cc8b976cda
153712c6d69ba
hex1d226883750

2002101221200 has 30 divisors (see below), whose sum is σ = 4810048184894. Its totient is φ = 800840488320.

The previous prime is 2002101221119. The next prime is 2002101221203. The reversal of 2002101221200 is 21221012002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2003815696 + 2000097405504 = 44764^2 + 1414248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002101221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2502626127 + ... + 2502626926.

Almost surely, 22002101221200 is an apocalyptic number.

2002101221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101221200 is an abundant number, since it is smaller than the sum of its proper divisors (2807946963694).

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

2002101221200 is a wasteful number, since it uses less digits than its factorization.

2002101221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005253071 (or 5005253060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002101221200 its reverse (21221012002), we get a palindrome (2023322233202).

The spelling of 2002101221200 in words is "two trillion, two billion, one hundred one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5005253053 10010506106 20021012212 25026265265 40042024424 50052530530 80084048848 100105061060 125131326325 200210122120 250262652650 400420244240 500525305300 1001050610600 2002101221200