Search a number
-
+
102201110013 = 3612693675657
BaseRepresentation
bin101111100101110101…
…0010010110111111101
3100202210120102022112210
41133023222102313331
53133301441010023
6114541152251033
710245432046602
oct1371352226775
9322716368483
10102201110013
113a385953692
1217982b40a79
13983983c3c2
144d3750a6a9
1529d25c5593
hex17cba92dfd

102201110013 has 32 divisors (see below), whose sum is σ = 139420362240. Its totient is φ = 66574287360.

The previous prime is 102201109999. The next prime is 102201110021. The reversal of 102201110013 is 310011102201.

It is not a de Polignac number, because 102201110013 - 28 = 102201109757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201110113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18063481 + ... + 18069137.

It is an arithmetic number, because the mean of its divisors is an integer number (4356886320).

Almost surely, 2102201110013 is an apocalyptic number.

It is an amenable number.

102201110013 is a deficient number, since it is larger than the sum of its proper divisors (37219252227).

102201110013 is a wasteful number, since it uses less digits than its factorization.

102201110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102201110013 its reverse (310011102201), we get a palindrome (412212212214).

The spelling of 102201110013 in words is "one hundred two billion, two hundred one million, one hundred ten thousand, thirteen".

Divisors: 1 3 61 183 269 367 807 1101 5657 16409 16971 22387 49227 67161 98723 296169 345077 1035231 1521733 2076119 4565199 6022103 6228357 18066309 92825713 126643259 278477139 379929777 558476011 1675428033 34067036671 102201110013