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111311431 = 7114992897
BaseRepresentation
bin1101010001001…
…11101001000111
321202110012120121
412220213221013
5211443431211
615013442411
72521063060
oct650475107
9252405517
10111311431
1157917a20
1231340407
131a0a426a
1410ad7567
159b8b271
hex6a27a47

111311431 has 16 divisors (see below), whose sum is σ = 139104000. Its totient is φ = 86532480.

The previous prime is 111311419. The next prime is 111311449. The reversal of 111311431 is 134113111.

It is a cyclic number.

It is not a de Polignac number, because 111311431 - 27 = 111311303 is a prime.

It is a super-2 number, since 2×1113114312 = 24780469342535522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111311401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36975 + ... + 39871.

It is an arithmetic number, because the mean of its divisors is an integer number (8694000).

Almost surely, 2111311431 is an apocalyptic number.

111311431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111311431 is a deficient number, since it is larger than the sum of its proper divisors (27792569).

111311431 is a wasteful number, since it uses less digits than its factorization.

111311431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414.

The product of its digits is 36, while the sum is 16.

The square root of 111311431 is about 10550.4232616516. The cubic root of 111311431 is about 481.0385945925.

Adding to 111311431 its reverse (134113111), we get a palindrome (245424542).

It can be divided in two parts, 1113 and 11431, that added together give a square (12544 = 1122).

The spelling of 111311431 in words is "one hundred eleven million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 7 11 77 499 2897 3493 5489 20279 31867 38423 223069 1445603 10119221 15901633 111311431