Search a number
-
+
210201002200201 = 37137343271208027
BaseRepresentation
bin101111110010110100111100…
…000100010100110010001001
31000120021000112020222001010011
4233302310330010110302021
5210022413123030401301
62023021001325151521
762163343534332445
oct5762647404246211
91016230466861104
10210201002200201
1160a818208a43a1
121b6aa4423bb5a1
139039b3c26402c
1439c9ad5d95825
151947c2541ea51
hexbf2d3c114c89

210201002200201 has 16 divisors (see below), whose sum is σ = 217464407104896. Its totient is φ = 203020965530496.

The previous prime is 210201002200181. The next prime is 210201002200291. The reversal of 210201002200201 is 102002200102012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 210201002200201 - 27 = 210201002200073 is a prime.

It is a super-3 number, since 3×2102010022002013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210201002200291) 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 15 ways as a sum of consecutive naturals, for example, 173399550 + ... + 174607576.

It is an arithmetic number, because the mean of its divisors is an integer number (13591525444056).

Almost surely, 2210201002200201 is an apocalyptic number.

It is an amenable number.

210201002200201 is a deficient number, since it is larger than the sum of its proper divisors (7263404904695).

210201002200201 is a wasteful number, since it uses less digits than its factorization.

210201002200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242528.

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

Adding to 210201002200201 its reverse (102002200102012), we get a palindrome (312203202302213).

The spelling of 210201002200201 in words is "two hundred ten trillion, two hundred one billion, two million, two hundred thousand, two hundred one".

Divisors: 1 37 137 5069 34327 1208027 1270099 4702799 44696999 165499699 174003563 6123488863 41467942829 1534313884673 5681108167573 210201002200201