Search a number
-
+
122303304122113 = 1923376937424993
BaseRepresentation
bin11011110011101111110100…
…111111110011111100000001
3121001001002012112211201002201
4123303233310333303330001
5112012304131323401423
61112041210125513201
734522056614165632
oct3363576477637401
9531032175751081
10122303304122113
1135a735a3811124
1211873249112801
1353321c91b628a
14222b7237d1889
15e215c9e0b2ad
hex6f3bf4ff3f01

122303304122113 has 16 divisors (see below), whose sum is σ = 134341307441280. Its totient is φ = 110825668191744.

The previous prime is 122303304122101. The next prime is 122303304122119. The reversal of 122303304122113 is 311221403303221.

It is a cyclic number.

It is not a de Polignac number, because 122303304122113 - 25 = 122303304122081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122303304122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12759345 + ... + 20184337.

It is an arithmetic number, because the mean of its divisors is an integer number (8396331715080).

Almost surely, 2122303304122113 is an apocalyptic number.

It is an amenable number.

122303304122113 is a deficient number, since it is larger than the sum of its proper divisors (12038003319167).

122303304122113 is a wasteful number, since it uses less digits than its factorization.

122303304122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462728.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 122303304122113 its reverse (311221403303221), we get a palindrome (433524707425334).

The spelling of 122303304122113 in words is "one hundred twenty-two trillion, three hundred three billion, three hundred four million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 19 23 437 37693 716167 866939 7424993 16471841 141074867 170774839 3244721941 279870261149 5317534961831 6437016006427 122303304122113