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3113303024 = 2413176171427
BaseRepresentation
bin1011100110010001…
…0011101111110000
322000222020011212102
42321210103233300
522334001144044
61232532515532
7140102432126
oct27144235760
98028204772
103113303024
111358418707
1272a77bba8
133a8005150
1421769b916
151334c524e
hexb9913bf0

3113303024 has 80 divisors (see below), whose sum is σ = 6894121248. Its totient is φ = 1349246976.

The previous prime is 3113303009. The next prime is 3113303047. The reversal of 3113303024 is 4203033113.

It is a junction number, because it is equal to n+sod(n) for n = 3113302987 and 3113303005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180999 + ... + 2182425.

Almost surely, 23113303024 is an apocalyptic number.

3113303024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447060624).

3113303024 is an abundant number, since it is smaller than the sum of its proper divisors (3780818224).

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

3113303024 is a wasteful number, since it uses less digits than its factorization.

3113303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3113303024 is about 55796.9804200908. The cubic root of 3113303024 is about 1460.1824729711.

Adding to 3113303024 its reverse (4203033113), we get a palindrome (7316336137).

The spelling of 3113303024 in words is "three billion, one hundred thirteen million, three hundred three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 617 884 1234 1427 1768 2468 2854 3536 4936 5708 8021 9872 10489 11416 16042 18551 20978 22832 24259 32084 37102 41956 48518 64168 74204 83912 97036 128336 136357 148408 167824 194072 272714 296816 315367 388144 545428 630734 880459 1090856 1261468 1760918 2181712 2522936 3521836 5045872 7043672 11445967 14087344 14967803 22891934 29935606 45783868 59871212 91567736 119742424 183135472 194581439 239484848 389162878 778325756 1556651512 3113303024