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3013034431 = 1122329371009
BaseRepresentation
bin1011001110010111…
…0100000110111111
321202222120000012211
42303211310012333
522132314100211
61214551441251
7134444240641
oct26345640677
97688500184
103013034431
111306863400
12701086227
133902c9314
1420823a891
151297bae21
hexb39741bf

3013034431 has 48 divisors (see below), whose sum is σ = 3675268800. Its totient is φ = 2458874880.

The previous prime is 3013034417. The next prime is 3013034443. The reversal of 3013034431 is 1344303103.

It is a happy number.

It is not a de Polignac number, because 3013034431 - 25 = 3013034399 is a prime.

It is a super-2 number, since 2×30130344312 = 18156752964782987522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013034411) 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 47 ways as a sum of consecutive naturals, for example, 2985655 + ... + 2986663.

It is an arithmetic number, because the mean of its divisors is an integer number (76568100).

Almost surely, 23013034431 is an apocalyptic number.

3013034431 is a deficient number, since it is larger than the sum of its proper divisors (662234369).

3013034431 is a wasteful number, since it uses less digits than its factorization.

3013034431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3013034431 is about 54891.1143173465. The cubic root of 3013034431 is about 1444.3353194350.

Adding to 3013034431 its reverse (1344303103), we get a palindrome (4357337534).

The spelling of 3013034431 in words is "three billion, thirteen million, thirty-four thousand, four hundred thirty-one".

Divisors: 1 11 23 29 37 121 253 319 407 667 851 1009 1073 2783 3509 4477 7337 9361 11099 11803 23207 24679 29261 37333 80707 102971 122089 129833 255277 271469 321871 410663 673003 858659 1082657 2808047 2986159 3540581 4517293 7403033 9445249 11909227 24901111 81433363 103897739 131001497 273912221 3013034431