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11131431037 = 17976750413
BaseRepresentation
bin10100101110111110…
…00010100001111101
31001201202202021201121
422113133002201331
5140244121243122
65040321110541
7542563413466
oct122737024175
931652667647
1011131431037
1147a2447991
1221a7a88451
1310852245ac
14778523d6d
154523a1bc7
hex2977c287d

11131431037 has 8 divisors (see below), whose sum is σ = 11907730296. Its totient is φ = 10368632832.

The previous prime is 11131431011. The next prime is 11131431043. The reversal of 11131431037 is 73013413111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5538485241 + 5592945796 = 74421^2 + 74786^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11131431037 - 27 = 11131430909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131435037) 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 7 ways as a sum of consecutive naturals, for example, 3373558 + ... + 3376855.

It is an arithmetic number, because the mean of its divisors is an integer number (1488466287).

Almost surely, 211131431037 is an apocalyptic number.

11131431037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11131431037 is a deficient number, since it is larger than the sum of its proper divisors (776299259).

11131431037 is an equidigital number, since it uses as much as digits as its factorization.

11131431037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750527.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 11131431037 its reverse (73013413111), we get a palindrome (84144844148).

The spelling of 11131431037 in words is "eleven billion, one hundred thirty-one million, four hundred thirty-one thousand, thirty-seven".

Divisors: 1 17 97 1649 6750413 114757021 654790061 11131431037