Search a number
-
+
202201102200201 = 31349725710426487
BaseRepresentation
bin101101111110011010011100…
…110111101010110110001001
3222111221020101110202011110120
4231332122130313222312021
5203000330324130401301
61554013523132333453
760406355544315336
oct5576323467526611
9874836343664416
10202201102200201
1159478007902695
121a817b18014289
1388a96362b3690
1437d082ab0798d
151859aac15de36
hexb7e69cdead89

202201102200201 has 16 divisors (see below), whose sum is σ = 290340655914624. Its totient is φ = 124431185337984.

The previous prime is 202201102200169. The next prime is 202201102200233. The reversal of 202201102200201 is 102002201102202.

It is an interprime number because it is at equal distance from previous prime (202201102200169) and next prime (202201102200233).

It is not a de Polignac number, because 202201102200201 - 25 = 202201102200169 is a prime.

It is a super-2 number, since 2×2022011022002012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202201102200101) 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, 14179780 + ... + 24606266.

It is an arithmetic number, because the mean of its divisors is an integer number (18146290994664).

Almost surely, 2202201102200201 is an apocalyptic number.

It is an amenable number.

202201102200201 is a deficient number, since it is larger than the sum of its proper divisors (88139553714423).

202201102200201 is a wasteful number, since it uses less digits than its factorization.

202201102200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10923760.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202201102200201 its reverse (102002201102202), we get a palindrome (304203303302403).

The spelling of 202201102200201 in words is "two hundred two trillion, two hundred one billion, one hundred two million, two hundred thousand, two hundred one".

Divisors: 1 3 13 39 497257 1491771 6464341 10426487 19393023 31279461 135544331 406632993 5184643646159 15553930938477 67400367400067 202201102200201