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3133303120 = 245831493167
BaseRepresentation
bin1011101011000010…
…0110100101010000
322002100212021211201
42322300212211100
522404111144440
61234525320544
7140434431343
oct27260464520
98070767751
103133303120
111368739012
12735406154
133ac1b861c
1421a1c645a
1513512619a
hexbac26950

3133303120 has 80 divisors (see below), whose sum is σ = 7424524800. Its totient is φ = 1229522432.

The previous prime is 3133303067. The next prime is 3133303139. The reversal of 3133303120 is 213033313.

It is a tau number, because it is divible by the number of its divisors (80).

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, 987777 + ... + 990943.

It is an arithmetic number, because the mean of its divisors is an integer number (92806560).

Almost surely, 23133303120 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 3133303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712262400).

3133303120 is an abundant number, since it is smaller than the sum of its proper divisors (4291221680).

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

3133303120 is a wasteful number, since it uses less digits than its factorization.

3133303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 3133303120 is about 55975.9155351657. The cubic root of 3133303120 is about 1463.3025757319.

Adding to 3133303120 its reverse (213033313), we get a palindrome (3346336433).

The spelling of 3133303120 in words is "three billion, one hundred thirty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 149 166 298 332 415 596 664 745 830 1192 1328 1490 1660 2384 2980 3167 3320 5960 6334 6640 11920 12367 12668 15835 24734 25336 31670 49468 50672 61835 63340 98936 123670 126680 197872 247340 253360 262861 471883 494680 525722 943766 989360 1051444 1314305 1887532 2102888 2359415 2628610 3775064 4205776 4718830 5257220 7550128 9437660 10514440 18875320 21028880 37750640 39166289 78332578 156665156 195831445 313330312 391662890 626660624 783325780 1566651560 3133303120