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3033313141 = 31544317977
BaseRepresentation
bin1011010011001100…
…1010111101110101
321211101201021101011
42310303022331311
522203012010031
61220554232221
7135111510355
oct26463127565
97741637334
103033313141
111317254071
12707a25671
13394579561
1420abd8b65
1512b4746b1
hexb4ccaf75

3033313141 has 8 divisors (see below), whose sum is σ = 3131911424. Its totient is φ = 2934761760.

The previous prime is 3033313139. The next prime is 3033313189. The reversal of 3033313141 is 1413133303.

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 3033313141 - 21 = 3033313139 is a prime.

It is a super-3 number, since 3×30333131413 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033316141) 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, 159745 + ... + 177721.

It is an arithmetic number, because the mean of its divisors is an integer number (391488928).

Almost surely, 23033313141 is an apocalyptic number.

3033313141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3033313141 is a deficient number, since it is larger than the sum of its proper divisors (98598283).

3033313141 is a wasteful number, since it uses less digits than its factorization.

3033313141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23451.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 3033313141 is about 55075.5221582147. The cubic root of 3033313141 is about 1447.5683605854.

Adding to 3033313141 its reverse (1413133303), we get a palindrome (4446446444).

The spelling of 3033313141 in words is "three billion, thirty-three million, three hundred thirteen thousand, one hundred forty-one".

Divisors: 1 31 5443 17977 168733 557287 97848811 3033313141