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6306114331 = 1113917923041
BaseRepresentation
bin1011101111101111…
…11010101100011011
3121021111001210121001
411313313322230123
5100403331124311
62521425525431
7312162041656
oct56767725433
917244053531
106306114331
112746701040
12127baa3877
137966278ca
1443b73489d
1526d9534c1
hex177dfab1b

6306114331 has 16 divisors (see below), whose sum is σ = 6967900800. Its totient is φ = 5659545600.

The previous prime is 6306114329. The next prime is 6306114341. The reversal of 6306114331 is 1334116036.

It is a cyclic number.

It is not a de Polignac number, because 6306114331 - 21 = 6306114329 is a prime.

It is a super-2 number, since 2×63061143312 = 79534155911287155122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6306114331.

It is not an unprimeable number, because it can be changed into a prime (6306114341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262171 + ... + 285211.

It is an arithmetic number, because the mean of its divisors is an integer number (435493800).

Almost surely, 26306114331 is an apocalyptic number.

6306114331 is a deficient number, since it is larger than the sum of its proper divisors (661786469).

6306114331 is a wasteful number, since it uses less digits than its factorization.

6306114331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23370.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 6306114331 is about 79411.0466559911. The cubic root of 6306114331 is about 1847.5120518659.

The spelling of 6306114331 in words is "six billion, three hundred six million, one hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 11 139 179 1529 1969 23041 24881 253451 273691 3202699 4124339 35229689 45367729 573283121 6306114331