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3331310112 = 253313296591
BaseRepresentation
bin1100011010001111…
…1100001000100000
322121011110002101000
43012203330020200
523310303410422
61310321312000
7145360445244
oct30643741040
98534402330
103331310112
11145a48a659
1278b795600
13411225720
1423860a424
151476d9cac
hexc68fc220

3331310112 has 96 divisors (see below), whose sum is σ = 10463765760. Its totient is φ = 1025015040.

The previous prime is 3331310027. The next prime is 3331310117. The reversal of 3331310112 is 2110131333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33313101122 = 22195254124626905088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3331310117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137064 + ... + 159527.

It is an arithmetic number, because the mean of its divisors is an integer number (108997560).

Almost surely, 23331310112 is an apocalyptic number.

3331310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3331310112 is an abundant number, since it is smaller than the sum of its proper divisors (7132455648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3331310112 is a wasteful number, since it uses less digits than its factorization.

3331310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296623 (or 296609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3331310112 is about 57717.5026486767. The cubic root of 3331310112 is about 1493.4992918946.

Adding to 3331310112 its reverse (2110131333), we get a palindrome (5441441445).

The spelling of 3331310112 in words is "three billion, three hundred thirty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 296591 593182 889773 1186364 1779546 2372728 2669319 3559092 3855683 4745456 5338638 7118184 7711366 8007957 9490912 10677276 11567049 14236368 15422732 16015914 21354552 23134098 28472736 30845464 32031828 34701147 42709104 46268196 61690928 64063656 69402294 85418208 92536392 104103441 123381856 128127312 138804588 185072784 208206882 256254624 277609176 370145568 416413764 555218352 832827528 1110436704 1665655056 3331310112