Search a number
-
+
102200202221 = 1341177190921
BaseRepresentation
bin101111100101110011…
…0110101001111101101
3100202210111201012021212
41133023212311033231
53133301222432341
6114541121004205
710245421246145
oct1371346651755
9322714635255
10102200202221
113a385393647
1217982783665
1398395b2150
144d37351925
1529d24965eb
hex17cb9b53ed

102200202221 has 8 divisors (see below), whose sum is σ = 110065005624. Its totient is φ = 94335863040.

The previous prime is 102200202191. The next prime is 102200202229. The reversal of 102200202221 is 122202002201.

It can be written as a sum of positive squares in 4 ways, for example, as 605652100 + 101594550121 = 24610^2 + 318739^2 .

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 102200202221 - 230 = 101126460397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200202196 and 102200202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200202229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439841 + ... + 630761.

It is an arithmetic number, because the mean of its divisors is an integer number (13758125703).

Almost surely, 2102200202221 is an apocalyptic number.

It is an amenable number.

102200202221 is a deficient number, since it is larger than the sum of its proper divisors (7864803403).

102200202221 is a wasteful number, since it uses less digits than its factorization.

102200202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232111.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102200202221 its reverse (122202002201), we get a palindrome (224402204422).

The spelling of 102200202221 in words is "one hundred two billion, two hundred million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 13 41177 190921 535301 2481973 7861554017 102200202221