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3113441331 = 3721113374003
BaseRepresentation
bin1011100110010011…
…0101100000110011
322000222111012120220
42321210311200303
522334020110311
61232535504123
7140103546300
oct27144654063
98028435526
103113441331
111358502610
1272a828043
133a80530a0
142176d60a7
15133501206
hexb9935833

3113441331 has 96 divisors (see below), whose sum is σ = 5828030208. Its totient is φ = 1452245760.

The previous prime is 3113441267. The next prime is 3113441339. The reversal of 3113441331 is 1331443113.

3113441331 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3113441331 - 26 = 3113441267 is a prime.

It is a super-2 number, since 2×31134413312 = 19387033843158103122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3113441339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 775776 + ... + 779778.

It is an arithmetic number, because the mean of its divisors is an integer number (60708648).

Almost surely, 23113441331 is an apocalyptic number.

3113441331 is a deficient number, since it is larger than the sum of its proper divisors (2714588877).

3113441331 is a wasteful number, since it uses less digits than its factorization.

3113441331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4074 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 3113441331 is about 55798.2197834304. The cubic root of 3113441331 is about 1460.2040952873.

Adding to 3113441331 its reverse (1331443113), we get a palindrome (4444884444).

It can be divided in two parts, 3113 and 441331, that added together give a palindrome (444444).

The spelling of 3113441331 in words is "three billion, one hundred thirteen million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 231 259 273 407 429 481 539 637 777 1001 1221 1443 1617 1813 1911 2849 3003 3367 4003 5291 5439 7007 8547 10101 12009 15873 19943 21021 23569 28021 37037 44033 52039 59829 70707 84063 111111 132099 148111 156117 196147 259259 308231 364273 444333 572429 588441 777777 924693 1036777 1092819 1629221 1717287 1925443 2157617 2549911 3110331 4007003 4887663 5776329 6472851 7257439 7649733 11404547 12021009 13478101 21179873 21772317 28049021 34213641 40434303 63539619 79831829 84147063 94346707 148259111 239495487 283040121 444777333 1037813777 3113441331