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3115121024 = 27711272699
BaseRepresentation
bin1011100110101100…
…1111100110000000
322001002122112200202
42321223033212000
522334432333044
61233035504332
7140124043331
oct27153174600
98032575622
103115121024
11135944a594
1272b2b80a8
133a84c07a2
14217a12288
15133733c4e
hexb9acf980

3115121024 has 64 divisors (see below), whose sum is σ = 6345216000. Its totient is φ = 1522967040.

The previous prime is 3115121011. The next prime is 3115121033. The reversal of 3115121024 is 4201215113.

3115121024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3115120987 and 3115121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152827 + ... + 1155525.

It is an arithmetic number, because the mean of its divisors is an integer number (99144000).

Almost surely, 23115121024 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 3115121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172608000).

3115121024 is an abundant number, since it is smaller than the sum of its proper divisors (3230094976).

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

3115121024 is a wasteful number, since it uses less digits than its factorization.

3115121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 3115121024 is about 55813.2692466585. The cubic root of 3115121024 is about 1460.4666401045.

Adding to 3115121024 its reverse (4201215113), we get a palindrome (7316336137).

The spelling of 3115121024 in words is "three billion, one hundred fifteen million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 71 127 128 142 254 284 508 568 1016 1136 2032 2272 2699 4064 4544 5398 8128 9017 9088 10796 16256 18034 21592 36068 43184 72136 86368 144272 172736 191629 288544 342773 345472 383258 577088 685546 766516 1154176 1371092 1533032 2742184 3066064 5484368 6132128 10968736 12264256 21937472 24336883 24528512 43874944 48673766 97347532 194695064 389390128 778780256 1557560512 3115121024