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10133023014 = 2322343718017
BaseRepresentation
bin10010110111111100…
…11010100100100110
3222011012001220101200
421123332122210212
5131223023214024
64353253503330
7506051163102
oct113376324446
928135056350
1010133023014
11432a911194
121b69641b46
13c56423c0a
146c1aac902
153e48d72c9
hex25bf9a926

10133023014 has 96 divisors (see below), whose sum is σ = 23775358464. Its totient is φ = 3110849280.

The previous prime is 10133023003. The next prime is 10133023049. The reversal of 10133023014 is 41032033101.

10133023014 is a `hidden beast` number, since 101 + 330 + 230 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 1259934 + ... + 1267950.

It is an arithmetic number, because the mean of its divisors is an integer number (247659984).

Almost surely, 210133023014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133023014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887679232).

10133023014 is an abundant number, since it is smaller than the sum of its proper divisors (13642335450).

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

10133023014 is a wasteful number, since it uses less digits than its factorization.

10133023014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10133023014 its reverse (41032033101), we get a palindrome (51165056115).

The spelling of 10133023014 in words is "ten billion, one hundred thirty-three million, twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 43 46 69 71 86 129 138 142 207 213 258 387 414 426 639 774 989 1278 1633 1978 2967 3053 3266 4899 5934 6106 8017 8901 9159 9798 14697 16034 17802 18318 24051 27477 29394 48102 54954 70219 72153 140438 144306 184391 210657 344731 368782 421314 553173 569207 631971 689462 1034193 1106346 1138414 1263942 1659519 1707621 2068386 3102579 3319038 3415242 5122863 6205158 7928813 10245726 13091761 15857626 23786439 24475901 26183522 39275283 47572878 48951802 71359317 73427703 78550566 117825849 142718634 146855406 220283109 235651698 440566218 562945723 1125891446 1688837169 3377674338 5066511507 10133023014