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3320121144 = 2332946310303
BaseRepresentation
bin1100010111100101…
…0000011100111000
322120101101121222210
43011321100130320
523244422334034
61305241415120
7145163364324
oct30571203470
98511347883
103320121144
11145413817a
12787a9a4a0
1340bb08932
14236d36984
151467298e9
hexc5e50738

3320121144 has 64 divisors (see below), whose sum is σ = 8605900800. Its totient is φ = 1066133376.

The previous prime is 3320121067. The next prime is 3320121197. The reversal of 3320121144 is 4411210233.

It is a super-2 number, since 2×33201211442 = 22046408821671737472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3320121144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317097 + ... + 327399.

It is an arithmetic number, because the mean of its divisors is an integer number (134467200).

Almost surely, 23320121144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302950400).

3320121144 is an abundant number, since it is smaller than the sum of its proper divisors (5285779656).

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

3320121144 is a wasteful number, since it uses less digits than its factorization.

3320121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3320121144 is about 57620.4923963688. The cubic root of 3320121144 is about 1491.8253298863.

Adding to 3320121144 its reverse (4411210233), we get a palindrome (7731331377).

It can be divided in two parts, 33201 and 21144, that added together give a palindrome (54345).

The spelling of 3320121144 in words is "three billion, three hundred twenty million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 463 696 926 1389 1852 2778 3704 5556 10303 11112 13427 20606 26854 30909 40281 41212 53708 61818 80562 82424 107416 123636 161124 247272 298787 322248 597574 896361 1195148 1792722 2390296 3585444 4770289 7170888 9540578 14310867 19081156 28621734 38162312 57243468 114486936 138338381 276676762 415015143 553353524 830030286 1106707048 1660060572 3320121144