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5311333200 = 2435235912329
BaseRepresentation
bin1001111001001010…
…01000001101010000
3111201011012200102110
410330211020031100
541334200130300
62235012145320
7245422405305
oct47445101520
914634180373
105311333200
112286122278
121042908240
136684c7014
143855850ac
15211453550
hex13c948350

5311333200 has 120 divisors (see below), whose sum is σ = 17062747200. Its totient is φ = 1412295680.

The previous prime is 5311333187. The next prime is 5311333201. The reversal of 5311333200 is 23331135.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×53113332002 = 56420520722844480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5311333201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424636 + ... + 436964.

It is an arithmetic number, because the mean of its divisors is an integer number (142189560).

Almost surely, 25311333200 is an apocalyptic number.

5311333200 is a gapful number since it is divisible by the number (50) 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 5311333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531373600).

5311333200 is an abundant number, since it is smaller than the sum of its proper divisors (11751414000).

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

5311333200 is a wasteful number, since it uses less digits than its factorization.

5311333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 5311333200 is about 72878.8940640567. The cubic root of 5311333200 is about 1744.7552577778.

Adding to 5311333200 its reverse (23331135), we get a palindrome (5334664335).

The spelling of 5311333200 in words is "five billion, three hundred eleven million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 359 400 600 718 1077 1200 1436 1795 2154 2872 3590 4308 5385 5744 7180 8616 8975 10770 12329 14360 17232 17950 21540 24658 26925 28720 35900 36987 43080 49316 53850 61645 71800 73974 86160 98632 107700 123290 143600 147948 184935 197264 215400 246580 295896 308225 369870 430800 493160 591792 616450 739740 924675 986320 1232900 1479480 1849350 2465800 2958960 3698700 4426111 4931600 7397400 8852222 13278333 14794800 17704444 22130555 26556666 35408888 44261110 53113332 66391665 70817776 88522220 106226664 110652775 132783330 177044440 212453328 221305550 265566660 331958325 354088880 442611100 531133320 663916650 885222200 1062266640 1327833300 1770444400 2655666600 5311333200