Search a number
-
+
102313220401 = 7233719189923
BaseRepresentation
bin101111101001001010…
…1111101100100110001
3100210002101101010002101
41133102111331210301
53134014141023101
6115000235220401
710251263011210
oct1372225754461
9323071333071
10102313220401
113a4331668a7
12179b45a7701
139856b33202
144d48371077
1529dc36d401
hex17d257d931

102313220401 has 32 divisors (see below), whose sum is σ = 125968416768. Its totient is φ = 81188775360.

The previous prime is 102313220389. The next prime is 102313220419. The reversal of 102313220401 is 104022313201.

It is a happy number.

It is not a de Polignac number, because 102313220401 - 215 = 102313187633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102313220501) 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, 1092826 + ... + 1182748.

It is an arithmetic number, because the mean of its divisors is an integer number (3936513024).

Almost surely, 2102313220401 is an apocalyptic number.

It is an amenable number.

102313220401 is a deficient number, since it is larger than the sum of its proper divisors (23655196367).

102313220401 is a wasteful number, since it uses less digits than its factorization.

102313220401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90181.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102313220401 its reverse (104022313201), we get a palindrome (206335533602).

The spelling of 102313220401 in words is "one hundred two billion, three hundred thirteen million, two hundred twenty thousand, four hundred one".

Divisors: 1 7 23 37 161 191 259 851 1337 4393 5957 7067 30751 49469 89923 162541 629461 1137787 2068229 3327151 14477603 17175293 23290057 76524473 120227051 395031739 535671311 635485841 2765222173 4448400887 14616174343 102313220401