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3004113311 = 31301932099
BaseRepresentation
bin1011001100001111…
…0010000110011111
321202100202202201222
42303003302012133
522123023111221
61214032323555
7134305353563
oct26303620637
97670682658
103004113311
11130181a881
126ba0a35bb
1338b4c4854
14206d976a3
15128b079ab
hexb30f219f

3004113311 has 8 divisors (see below), whose sum is σ = 3102144000. Its totient is φ = 2906152920.

The previous prime is 3004113269. The next prime is 3004113383. The reversal of 3004113311 is 1133114003.

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 3004113311 - 26 = 3004113247 is a prime.

It is a super-3 number, since 3×30041133113 (a number of 29 digits) contains 333 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 3004113311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004113391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77540 + ... + 109638.

It is an arithmetic number, because the mean of its divisors is an integer number (387768000).

Almost surely, 23004113311 is an apocalyptic number.

3004113311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3004113311 is a deficient number, since it is larger than the sum of its proper divisors (98030689).

3004113311 is a wasteful number, since it uses less digits than its factorization.

3004113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35149.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3004113311 is about 54809.7921087099. The cubic root of 3004113311 is about 1442.9084271701.

Adding to 3004113311 its reverse (1133114003), we get a palindrome (4137227314).

The spelling of 3004113311 in words is "three billion, four million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 31 3019 32099 93589 995069 96906881 3004113311