Search a number
-
+
202122102002201 = 3724172260140469
BaseRepresentation
bin101101111101010000111000…
…000101110101001000011001
3222111122200110210221021222022
4231331100320011311020121
5202443032031103032301
61553513340052104225
760400561052601353
oct5575207005651031
9874580423837868
10202122102002201
11594475582a4657
121a80474b005075
1388a20563498a4
1437caa94a680d3
1518579d6832d1b
hexb7d438175219

202122102002201 has 8 divisors (see below), whose sum is σ = 207670746945480. Its totient is φ = 196577977344768.

The previous prime is 202122102002189. The next prime is 202122102002207. The reversal of 202122102002201 is 102200201221202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105271211550976 + 96850890451225 = 10260176^2 + 9841285^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202122102002201 - 26 = 202122102002137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202122102002201.

It is not an unprimeable number, because it can be changed into a prime (202122102002207) 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 7 ways as a sum of consecutive naturals, for example, 1129980806 + ... + 1130159663.

It is an arithmetic number, because the mean of its divisors is an integer number (25958843368185).

Almost surely, 2202122102002201 is an apocalyptic number.

It is an amenable number.

202122102002201 is a deficient number, since it is larger than the sum of its proper divisors (5548644943279).

202122102002201 is a wasteful number, since it uses less digits than its factorization.

202122102002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260142923.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202122102002201 its reverse (102200201221202), we get a palindrome (304322303223403).

The spelling of 202122102002201 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred two million, two thousand, two hundred one".

Divisors: 1 37 2417 89429 2260140469 83625197353 5462759513573 202122102002201