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111434525434111 = 11210190911003001
BaseRepresentation
bin11001010101100101011111…
…010011011110000011111111
3112121120000222200020100111211
4121111211133103132003333
5104101220402002342421
61033000151514225251
732320610264520115
oct3125453723360377
9477500880210454
10111434525434111
1132563131574100
12105b8911125227
134a242cc9b0889
141d73661a01ab5
15cd3a039109e1
hex65595f4de0ff

111434525434111 has 24 divisors (see below), whose sum is σ = 123712344900144. Its totient is φ = 100289970000000.

The previous prime is 111434525434109. The next prime is 111434525434129.

111434525434111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111434525434111 - 21 = 111434525434109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111434525434151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110599611 + ... + 111602611.

It is an arithmetic number, because the mean of its divisors is an integer number (5154681037506).

Almost surely, 2111434525434111 is an apocalyptic number.

111434525434111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111434525434111 is a deficient number, since it is larger than the sum of its proper divisors (12277819466033).

111434525434111 is a wasteful number, since it uses less digits than its factorization.

111434525434111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012215 (or 1012204 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

It can be divided in two parts, 11143 and 4525434111, that added together give a palindrome (4525445254).

The spelling of 111434525434111 in words is "one hundred eleven trillion, four hundred thirty-four billion, five hundred twenty-five million, four hundred thirty-four thousand, one hundred eleven".

Divisors: 1 11 101 121 1111 9091 12221 100001 918191 1003001 1100011 10100101 11033011 101303101 111101111 121363121 1114334111 9118282091 12257675221 100301103001 920946491191 1103312133011 10130411403101 111434525434111