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3313135320 = 23351110124851
BaseRepresentation
bin1100010101111010…
…0110111011011000
322112220020201020120
43011132212323120
523241130312240
61304431553240
7145050120435
oct30536467330
98486221216
103313135320
1114501a6670
1278568b820
1340a531001
14236038b8c
15145ce9ad0
hexc57a6ed8

3313135320 has 128 divisors (see below), whose sum is σ = 10950785280. Its totient is φ = 795200000.

The previous prime is 3313135237. The next prime is 3313135351. The reversal of 3313135320 is 235313133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120895 + ... + 145745.

It is an arithmetic number, because the mean of its divisors is an integer number (85553010).

Almost surely, 23313135320 is an apocalyptic number.

3313135320 is a gapful number since it is divisible by the number (30) 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 3313135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475392640).

3313135320 is an abundant number, since it is smaller than the sum of its proper divisors (7637649960).

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

3313135320 is a wasteful number, since it uses less digits than its factorization.

3313135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24977 (or 24973 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 3313135320 is about 57559.8412089540. The cubic root of 3313135320 is about 1490.7782850511.

Adding to 3313135320 its reverse (235313133), we get a palindrome (3548448453).

It can be divided in two parts, 331313 and 5320, that added together give a palindrome (336633).

The spelling of 3313135320 in words is "three billion, three hundred thirteen million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 24851 26664 33330 44440 49702 66660 74553 99404 124255 133320 149106 198808 248510 273361 298212 372765 497020 546722 596424 745530 820083 994040 1093444 1366805 1491060 1640166 2186888 2509951 2733610 2982120 3280332 4100415 5019902 5467220 6560664 7529853 8200830 10039804 10934440 12549755 15059706 16401660 20079608 25099510 27609461 30119412 32803320 37649265 50199020 55218922 60238824 75298530 82828383 100398040 110437844 138047305 150597060 165656766 220875688 276094610 301194120 331313532 414141915 552189220 662627064 828283830 1104378440 1656567660 3313135320