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202100221001 = 753975615923
BaseRepresentation
bin1011110000111000011…
…1001010010001001001
3201022122201012222002102
42330032013022101021
511302400124033001
6232502113043145
720413142351210
oct2741607122111
9638581188072
10202100221001
117878a340338
1233202b564b5
131609a4867b3
149ad2dc8077
1553cca31e6b
hex2f0e1ca449

202100221001 has 16 divisors (see below), whose sum is σ = 237755758464. Its totient is φ = 168208095744.

The previous prime is 202100220989. The next prime is 202100221007. The reversal of 202100221001 is 100122001202.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 202100221001 - 230 = 201026479177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202100221007) 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 15 ways as a sum of consecutive naturals, for example, 2771975 + ... + 2843948.

It is an arithmetic number, because the mean of its divisors is an integer number (14859734904).

Almost surely, 2202100221001 is an apocalyptic number.

It is an amenable number.

202100221001 is a deficient number, since it is larger than the sum of its proper divisors (35655537463).

202100221001 is an equidigital number, since it uses as much as digits as its factorization.

202100221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616080.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202100221001 its reverse (100122001202), we get a palindrome (302222222203).

The spelling of 202100221001 in words is "two hundred two billion, one hundred million, two hundred twenty-one thousand, one".

Divisors: 1 7 53 97 371 679 5141 35987 5615923 39311461 297643919 544744531 2083507433 3813211717 28871460143 202100221001