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11144254137 = 317217971809
BaseRepresentation
bin10100110000011111…
…11101001010111001
31001202122212202201020
422120033331022321
5140310412113022
65041500013053
7543110411562
oct123017751271
931678782636
1011144254137
1147a9706095
1221b0231189
131087a94123
1477a101169
1545358635c
hex2983fd2b9

11144254137 has 24 divisors (see below), whose sum is σ = 15872882400. Its totient is φ = 6953312256.

The previous prime is 11144254097. The next prime is 11144254189. The reversal of 11144254137 is 73145244111.

It is a happy number.

It is not a de Polignac number, because 11144254137 - 26 = 11144254073 is a prime.

It is a super-2 number, since 2×111442541372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11144254098 and 11144254107.

It is not an unprimeable number, because it can be changed into a prime (11144274137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119289 + ... + 191097.

It is an arithmetic number, because the mean of its divisors is an integer number (661370100).

Almost surely, 211144254137 is an apocalyptic number.

11144254137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11144254137 is a deficient number, since it is larger than the sum of its proper divisors (4728628263).

11144254137 is a wasteful number, since it uses less digits than its factorization.

11144254137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72025 (or 72008 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

Adding to 11144254137 its reverse (73145244111), we get a palindrome (84289498248).

The spelling of 11144254137 in words is "eleven billion, one hundred forty-four million, two hundred fifty-four thousand, one hundred thirty-seven".

Divisors: 1 3 17 51 179 289 537 867 3043 9129 51731 71809 155193 215427 1220753 3662259 12853811 20752801 38561433 62258403 218514787 655544361 3714751379 11144254137