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11111113 = 133179349
BaseRepresentation
bin101010011000…
…101011001001
3202220111120201
4222120223021
510321023423
61034052201
7163304626
oct52305311
922814521
1011111113
1162a9a42
12387a061
1323c0530
14169334d
15e972ad
hexa98ac9

11111113 has 16 divisors (see below), whose sum is σ = 12544000. Its totient is φ = 9771840.

The previous prime is 11111101. The next prime is 11111117. The reversal of 11111113 is 31111111.

It is a de Polignac number, because none of the positive numbers 2k-11111113 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11111113.

It is not an unprimeable number, because it can be changed into a prime (11111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31663 + ... + 32011.

It is an arithmetic number, because the mean of its divisors is an integer number (784000).

Almost surely, 211111113 is an apocalyptic number.

11111113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11111113 is a deficient number, since it is larger than the sum of its proper divisors (1432887).

11111113 is a wasteful number, since it uses less digits than its factorization.

11111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its digits is 3, while the sum is 10.

The square root of 11111113 is about 3333.3336166667. Note that the first 3 decimals coincide. The cubic root of 11111113 is about 223.1443293389.

Adding to 11111113 its reverse (31111111), we get a palindrome (42222224).

It can be divided in two parts, 1111111 and 3, that multiplied together give a palindrome (3333333).

The spelling of 11111113 in words is "eleven million, one hundred eleven thousand, one hundred thirteen".

Divisors: 1 13 31 79 349 403 1027 2449 4537 10819 27571 31837 140647 358423 854701 11111113