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1333322133 = 31113971792
BaseRepresentation
bin100111101111000…
…1110000110010101
310102220212210010020
41033132032012111
510212312302013
6340145415353
745020023353
oct11736160625
93386783106
101333322133
11624697720
1231263a559
13183304110
14c91167d3
157c0c3623
hex4f78e195

1333322133 has 48 divisors (see below), whose sum is σ = 2121946176. Its totient is φ = 734100480.

The previous prime is 1333322119. The next prime is 1333322141. The reversal of 1333322133 is 3312233331.

It is not a de Polignac number, because 1333322133 - 226 = 1266213269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333322153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7448638 + ... + 7448816.

It is an arithmetic number, because the mean of its divisors is an integer number (44207212).

Almost surely, 21333322133 is an apocalyptic number.

1333322133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1333322133 is a deficient number, since it is larger than the sum of its proper divisors (788624043).

1333322133 is a wasteful number, since it uses less digits than its factorization.

1333322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 303 counting only the distinct ones).

The product of its digits is 2916, while the sum is 24.

The square root of 1333322133 is about 36514.6837998085. The cubic root of 1333322133 is about 1100.6393343991.

Adding to 1333322133 its reverse (3312233331), we get a palindrome (4645555464).

The spelling of 1333322133 in words is "one billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 11 13 33 39 97 143 179 291 429 537 1067 1261 1969 2327 3201 3783 5907 6981 13871 17363 25597 32041 41613 52089 76791 96123 190993 225719 352451 416533 572979 677157 1057353 1249599 2482909 3107977 4581863 7448727 9323931 13745589 34187747 40403701 102563241 121211103 444440711 1333322133