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2331120096 = 253273110879
BaseRepresentation
bin1000101011110010…
…0001000111100000
320000110102011121100
42022330201013200
514233231320341
61023151554400
7111524123334
oct21274410740
96013364540
102331120096
11a96947038
1255082ba00
132b1c4cc06
1418184d7c4
15d99bc3b6
hex8af211e0

2331120096 has 72 divisors (see below), whose sum is σ = 6719993280. Its totient is φ = 766388736.

The previous prime is 2331120073. The next prime is 2331120119. The reversal of 2331120096 is 6900211332.

It is an interprime number because it is at equal distance from previous prime (2331120073) and next prime (2331120119).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34416 + ... + 76463.

It is an arithmetic number, because the mean of its divisors is an integer number (93333240).

Almost surely, 22331120096 is an apocalyptic number.

It is an amenable number.

2331120096 is an abundant number, since it is smaller than the sum of its proper divisors (4388873184).

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

2331120096 is a wasteful number, since it uses less digits than its factorization.

2331120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110968 (or 110957 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2331120096 is about 48281.6745359976. The cubic root of 2331120096 is about 1325.9329081619.

The spelling of 2331120096 in words is "two billion, three hundred thirty-one million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 110879 221758 332637 443516 665274 887032 997911 1330548 1774064 1995822 2661096 3548128 3991644 5322192 7983288 8094167 10644384 15966576 16188334 24282501 31933152 32376668 48565002 64753336 72847503 97130004 129506672 145695006 194260008 259013344 291390012 388520016 582780024 777040032 1165560048 2331120096