Search a number
-
+
111413262101 is a prime number
BaseRepresentation
bin110011111000010111…
…1110111011100010101
3101122120120201010111212
41213300233313130111
53311133243341401
6123103232511205
711022632050061
oct1476057673425
9348516633455
10111413262101
1143282977919
12197140ab505
13a67723cc7b
14556cb88aa1
152d7120bdbb
hex19f0bf7715

111413262101 has 2 divisors, whose sum is σ = 111413262102. Its totient is φ = 111413262100.

The previous prime is 111413262073. The next prime is 111413262137. The reversal of 111413262101 is 101262314111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106128699076 + 5284563025 = 325774^2 + 72695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111413262101 is a prime.

It is a super-2 number, since 2×1114132621012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111413264101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55706631050 + 55706631051.

It is an arithmetic number, because the mean of its divisors is an integer number (55706631051).

Almost surely, 2111413262101 is an apocalyptic number.

It is an amenable number.

111413262101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111413262101 is an equidigital number, since it uses as much as digits as its factorization.

111413262101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 111413262101 its reverse (101262314111), we get a palindrome (212675576212).

The spelling of 111413262101 in words is "one hundred eleven billion, four hundred thirteen million, two hundred sixty-two thousand, one hundred one".