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1333133320 = 235591134999
BaseRepresentation
bin100111101110110…
…0000000000001000
310102220112012010011
41033131200000020
510212240231240
6340141401304
745015306031
oct11735400010
93386465104
101333133320
11624578882
12312569234
131832691ac
14c90a7a88
157c0876ea
hex4f760008

1333133320 has 64 divisors (see below), whose sum is σ = 3078000000. Its totient is φ = 519472128.

The previous prime is 1333133317. The next prime is 1333133341. The reversal of 1333133320 is 233313331.

It is a junction number, because it is equal to n+sod(n) for n = 1333133291 and 1333133300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264181 + ... + 269179.

It is an arithmetic number, because the mean of its divisors is an integer number (48093750).

Almost surely, 21333133320 is an apocalyptic number.

1333133320 is a gapful number since it is divisible by the number (10) 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 1333133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539000000).

1333133320 is an abundant number, since it is smaller than the sum of its proper divisors (1744866680).

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

1333133320 is a wasteful number, since it uses less digits than its factorization.

1333133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 1333133320 is about 36512.0982689300. The cubic root of 1333133320 is about 1100.5873777564.

Adding to 1333133320 its reverse (233313331), we get a palindrome (1566446651).

The spelling of 1333133320 in words is "one billion, three hundred thirty-three million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 113 118 226 236 295 452 472 565 590 904 1130 1180 2260 2360 4520 4999 6667 9998 13334 19996 24995 26668 33335 39992 49990 53336 66670 99980 133340 199960 266680 294941 564887 589882 1129774 1179764 1474705 2259548 2359528 2824435 2949410 4519096 5648870 5898820 11297740 11797640 22595480 33328333 66656666 133313332 166641665 266626664 333283330 666566660 1333133320