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10321301133 = 32111326330493
BaseRepresentation
bin10011001110011001…
…01000111010001101
3222122022100102102100
421213030220322031
5132114223114013
64424101145313
7513525416643
oct114714507215
928568312370
1010321301133
114417118340
1220006bb239
13c864359a0
146dcabd193
154061c8473
hex267328e8d

10321301133 has 48 divisors (see below), whose sum is σ = 17582108544. Its totient is φ = 5752010880.

The previous prime is 10321301131. The next prime is 10321301141. The reversal of 10321301133 is 33110312301.

It is a happy number.

10321301133 is a `hidden beast` number, since 10 + 321 + 301 + 1 + 33 = 666.

10321301133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10321301133 - 21 = 10321301131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321301131) 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, 323235 + ... + 353727.

It is an arithmetic number, because the mean of its divisors is an integer number (366293928).

Almost surely, 210321301133 is an apocalyptic number.

10321301133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10321301133 is a deficient number, since it is larger than the sum of its proper divisors (7260807411).

10321301133 is a wasteful number, since it uses less digits than its factorization.

10321301133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30786 (or 30783 counting only the distinct ones).

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

Adding to 10321301133 its reverse (33110312301), we get a palindrome (43431613434).

The spelling of 10321301133 in words is "ten billion, three hundred twenty-one million, three hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 263 429 789 1287 2367 2893 3419 8679 10257 26037 30493 30771 37609 91479 112827 274437 335423 338481 396409 1006269 1189227 3018807 3567681 4360499 8019659 13081497 24058977 39244491 72176931 88216249 104255567 264648747 312766701 793946241 938300103 1146811237 3440433711 10321301133