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5333133300 = 223521110116001
BaseRepresentation
bin1001111011110000…
…10010011111110100
3111202200020020112120
410331320102133310
541410240231200
62241111315540
7246105612405
oct47570223764
914680206476
105333133300
112297461a90
12104a07bbb0
1366cb8a8a1
1438841b9ac
1521330c9a0
hex13de127f4

5333133300 has 144 divisors (see below), whose sum is σ = 17001036864. Its totient is φ = 1280000000.

The previous prime is 5333133227. The next prime is 5333133301. The reversal of 5333133300 is 33313335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5333133301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325300 + ... + 341300.

It is an arithmetic number, because the mean of its divisors is an integer number (118062756).

Almost surely, 25333133300 is an apocalyptic number.

5333133300 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 5333133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500518432).

5333133300 is an abundant number, since it is smaller than the sum of its proper divisors (11667903564).

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

5333133300 is a wasteful number, since it uses less digits than its factorization.

5333133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16130 (or 16123 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 24.

The square root of 5333133300 is about 73028.3047865689. The cubic root of 5333133300 is about 1747.1390860480.

Adding to 5333133300 its reverse (33313335), we get a palindrome (5366446635).

The spelling of 5333133300 in words is "five billion, three hundred thirty-three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16001 16665 22220 27775 30300 32002 33330 48003 55550 64004 66660 80005 83325 96006 111100 160010 166650 176011 192012 240015 320020 333300 352022 400025 480030 528033 704044 800050 880055 960060 1056066 1200075 1600100 1616101 1760110 2112132 2400150 2640165 3232202 3520220 4400275 4800300 4848303 5280330 6464404 8080505 8800550 9696606 10560660 13200825 16161010 17601100 17777111 19393212 24241515 26401650 32322020 35554222 40402525 48483030 52803300 53331333 71108444 80805050 88885555 96966060 106662666 121207575 161610100 177771110 213325332 242415150 266656665 355542220 444427775 484830300 533313330 888855550 1066626660 1333283325 1777711100 2666566650 5333133300