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1301132133 = 33725979211
BaseRepresentation
bin100110110001101…
…1011001101100101
310100200022100202000
41031203123031211
510131042212013
6333035435513
744146304100
oct11543331545
93320270660
101301132133
11608500914
123038b5b99
13179743392
14c4b37737
1579365973
hex4d8db365

1301132133 has 96 divisors (see below), whose sum is σ = 2320128000. Its totient is φ = 718230240.

The previous prime is 1301132123. The next prime is 1301132137. The reversal of 1301132133 is 3312311031.

It is a happy number.

It is not a de Polignac number, because 1301132133 - 24 = 1301132117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301132137) 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 95 ways as a sum of consecutive naturals, for example, 6166398 + ... + 6166608.

It is an arithmetic number, because the mean of its divisors is an integer number (24168000).

Almost surely, 21301132133 is an apocalyptic number.

It is an amenable number.

1301132133 is a deficient number, since it is larger than the sum of its proper divisors (1018995867).

1301132133 is a wasteful number, since it uses less digits than its factorization.

1301132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1301132133 is about 36071.2091979185. The cubic root of 1301132133 is about 1091.7096121352.

Adding to 1301132133 its reverse (3312311031), we get a palindrome (4613443164).

The spelling of 1301132133 in words is "one billion, three hundred one million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 59 63 79 147 177 189 211 237 413 441 531 553 633 711 1239 1323 1477 1593 1659 1899 2133 2891 3717 3871 4431 4661 4977 5697 8673 10339 11151 11613 12449 13293 13983 14931 16669 26019 31017 32627 34839 37347 39879 41949 50007 78057 87143 93051 97881 104517 112041 116683 125847 150021 228389 261429 279153 293643 336123 350049 450063 610001 685167 784287 816781 880929 983471 1050147 1830003 2055501 2352861 2450343 2950413 3150441 5490009 6166503 6884297 7351029 8851239 16470027 20652891 22053087 26553717 48190079 61958673 144570237 185876019 433710711 1301132133