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10133023131 = 347111624663
BaseRepresentation
bin10010110111111100…
…11010100110011011
3222011012001220120000
421123332122212123
5131223023220011
64353253504043
7506051163330
oct113376324633
928135056500
1010133023131
11432a911290
121b69642023
13c56423c9a
146c1aac987
153e48d7356
hex25bf9a99b

10133023131 has 40 divisors (see below), whose sum is σ = 18872097024. Its totient is φ = 5263904880.

The previous prime is 10133023097. The next prime is 10133023141. The reversal of 10133023131 is 13132033101.

It is a happy number.

10133023131 is a `hidden beast` number, since 101 + 330 + 231 + 3 + 1 = 666.

It is not a de Polignac number, because 10133023131 - 26 = 10133023067 is a prime.

It is a super-2 number, since 2×101330231312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10133023141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 806095 + ... + 818568.

Almost surely, 210133023131 is an apocalyptic number.

10133023131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133023131 is a deficient number, since it is larger than the sum of its proper divisors (8739073893).

10133023131 is a wasteful number, since it uses less digits than its factorization.

10133023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624693 (or 1624684 counting only the distinct ones).

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

Adding to 10133023131 its reverse (13132033101), we get a palindrome (23265056232).

The spelling of 10133023131 in words is "ten billion, one hundred thirty-three million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 2079 6237 1624663 4873989 11372641 14621967 17871293 34117923 43865901 53613879 102353769 125099051 131597703 160841637 307061307 375297153 482524911 921183921 1125891459 1447574733 3377674377 10133023131