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202022011222201 = 1770183532029501
BaseRepresentation
bin101101111011110011101010…
…001101110011100010111001
3222111022010010022110211222101
4231323303222031303202321
5202434412034333102301
61553355344123223401
760360415524161212
oct5573635215634271
9874263108424871
10202022011222201
11594090656a5165
121a7a9276977b61
138895794aa4191
1437c5cbb936409
1518550c9665701
hexb7bcea3738b9

202022011222201 has 16 divisors (see below), whose sum is σ = 214236552870288. Its totient is φ = 189844300800000.

The previous prime is 202022011222127. The next prime is 202022011222217. The reversal of 202022011222201 is 102222110220202.

It can be written as a sum of positive squares in 8 ways, for example, as 5383091382201 + 196638919840000 = 2320149^2 + 14022800^2 .

It is a cyclic number.

It is not a de Polignac number, because 202022011222201 - 217 = 202022011091129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202022011222501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98527951 + ... + 100557451.

It is an arithmetic number, because the mean of its divisors is an integer number (13389784554393).

Almost surely, 2202022011222201 is an apocalyptic number.

It is an amenable number.

202022011222201 is a deficient number, since it is larger than the sum of its proper divisors (12214541648087).

202022011222201 is a wasteful number, since it uses less digits than its factorization.

202022011222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038572.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 202022011222201 its reverse (102222110220202), we get a palindrome (304244121442403).

The spelling of 202022011222201 in words is "two hundred two trillion, twenty-two billion, eleven million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 17 701 8353 11917 142001 2029501 5855453 34501517 99542701 1422680201 16952421853 24185563417 288191171501 11883647718953 202022011222201