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3002835137 = 17220814993
BaseRepresentation
bin1011001011111011…
…1010000011000001
321202021100211102012
42302332322003001
522122211211022
61213545102305
7134261451251
oct26276720301
97667324365
103002835137
111301027535
126b9787995
1338b167b33
14206b43961
15128953de2
hexb2fba0c1

3002835137 has 12 divisors (see below), whose sum is σ = 3192034956. Its totient is φ = 2824273920.

The previous prime is 3002835133. The next prime is 3002835197. The reversal of 3002835137 is 7315382003.

3002835137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 73427761 + 2929407376 = 8569^2 + 54124^2 .

It is not a de Polignac number, because 3002835137 - 22 = 3002835133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3002835133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598913 + ... + 603905.

It is an arithmetic number, because the mean of its divisors is an integer number (266002913).

Almost surely, 23002835137 is an apocalyptic number.

It is an amenable number.

3002835137 is a deficient number, since it is larger than the sum of its proper divisors (189199819).

3002835137 is a wasteful number, since it uses less digits than its factorization.

3002835137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3002835137 is about 54798.1307801644. The cubic root of 3002835137 is about 1442.7037578303.

The spelling of 3002835137 in words is "three billion, two million, eight hundred thirty-five thousand, one hundred thirty-seven".

Divisors: 1 17 289 2081 4993 35377 84881 601409 1442977 10390433 176637361 3002835137