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11314140431 = 119731913323
BaseRepresentation
bin10101000100110000…
…00001010100001111
31002012111112212220012
422202120001110033
5141132404443211
65110405143435
7550242415106
oct124230012417
932174485805
1011314140431
1148865a0190
1222390bab7b
1310b4036769
147948c503d
15463442d8b
hex2a260150f

11314140431 has 16 divisors (see below), whose sum is σ = 12477604608. Its totient is φ = 10173292800.

The previous prime is 11314140421. The next prime is 11314140437. The reversal of 11314140431 is 13404141311.

It is not a de Polignac number, because 11314140431 - 210 = 11314139407 is a prime.

It is a super-2 number, since 2×113141404312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11314140397 and 11314140406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314140437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3403136 + ... + 3406458.

It is an arithmetic number, because the mean of its divisors is an integer number (779850288).

Almost surely, 211314140431 is an apocalyptic number.

11314140431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11314140431 is a deficient number, since it is larger than the sum of its proper divisors (1163464177).

11314140431 is a wasteful number, since it uses less digits than its factorization.

11314140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11314140431 its reverse (13404141311), we get a palindrome (24718281742).

The spelling of 11314140431 in words is "eleven billion, three hundred fourteen million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 11 97 1067 3191 3323 35101 36553 309527 322331 3404797 3545641 10603693 116640623 1028558221 11314140431