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202121200001 = 7217829292693
BaseRepresentation
bin1011110000111101011…
…1001100000110000001
3201022201011200210212102
42330033113030012001
511302421011400001
6232504142440145
720413515565400
oct2741727140601
9638634623772
10202121200001
11787a016a156
1233209b93055
13160a19206c6
149ad5ac9637
1553ce7c7e6b
hex2f0f5cc181

202121200001 has 24 divisors (see below), whose sum is σ = 249252356520. Its totient is φ = 162858511872.

The previous prime is 202121199997. The next prime is 202121200013. The reversal of 202121200001 is 100002121202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 117193252225 + 84927947776 = 342335^2 + 291424^2 .

It is not a de Polignac number, because 202121200001 - 22 = 202121199997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202121200051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544211 + ... + 836903.

It is an arithmetic number, because the mean of its divisors is an integer number (10385514855).

Almost surely, 2202121200001 is an apocalyptic number.

It is an amenable number.

202121200001 is a deficient number, since it is larger than the sum of its proper divisors (47131156519).

202121200001 is a wasteful number, since it uses less digits than its factorization.

202121200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293553 (or 293546 counting only the distinct ones).

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

Adding to 202121200001 its reverse (100002121202), we get a palindrome (302123321203).

The spelling of 202121200001 in words is "two hundred two billion, one hundred twenty-one million, two hundred thousand, one".

Divisors: 1 7 17 49 119 829 833 5803 14093 40621 98651 292693 690557 2048851 4975781 14341957 34830467 242642497 243813269 1698497479 4124922449 11889482353 28874457143 202121200001