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2102210201 = 721318118233
BaseRepresentation
bin111110101001101…
…0010111010011001
312102111200100021002
41331103102322121
513301131211301
6544333354345
7103044330500
oct17523227231
95374610232
102102210201
11989708703
124a80389b5
132766b2b80
1415d2a3837
15c485216b
hex7d4d2e99

2102210201 has 24 divisors (see below), whose sum is σ = 2648233224. Its totient is φ = 1654007040.

The previous prime is 2102210183. The next prime is 2102210213. The reversal of 2102210201 is 1020122012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11526025 + 2090684176 = 3395^2 + 45724^2 .

It is not a de Polignac number, because 2102210201 - 26 = 2102210137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2102210221) 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, 106181 + ... + 124413.

It is an arithmetic number, because the mean of its divisors is an integer number (110343051).

Almost surely, 22102210201 is an apocalyptic number.

It is an amenable number.

2102210201 is a deficient number, since it is larger than the sum of its proper divisors (546023023).

2102210201 is a wasteful number, since it uses less digits than its factorization.

2102210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18441 (or 18434 counting only the distinct ones).

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

The square root of 2102210201 is about 45849.8658776664. The cubic root of 2102210201 is about 1281.0282673647.

Adding to 2102210201 its reverse (1020122012), we get a palindrome (3122332213).

The spelling of 2102210201 in words is "two billion, one hundred two million, two hundred ten thousand, two hundred one".

Divisors: 1 7 13 49 91 181 637 1267 2353 8869 16471 18233 115297 127631 237029 893417 1659203 3300173 11614421 23101211 42902249 161708477 300315743 2102210201