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20123001101133 = 337617692269733
BaseRepresentation
bin1001001001101010000000…
…10101010001101101001101
32122020201222112201211222000
410210311000111101231031
510114143401240214013
6110444213514342513
74144560504104160
oct444650025215515
978221875654860
1020123001101133
116459131574927
12230bb8042aa39
13b2c78b179898
144d7d5bdb5ad7
1524d6a354b973
hex124d40551b4d

20123001101133 has 64 divisors (see below), whose sum is σ = 34674272371200. Its totient is φ = 11295639060480.

The previous prime is 20123001101113. The next prime is 20123001101171. The reversal of 20123001101133 is 33110110032102.

20123001101133 is a `hidden beast` number, since 201 + 230 + 0 + 1 + 101 + 133 = 666.

It is not a de Polignac number, because 20123001101133 - 25 = 20123001101101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123001101113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7730935 + ... + 10000667.

It is an arithmetic number, because the mean of its divisors is an integer number (541785505800).

Almost surely, 220123001101133 is an apocalyptic number.

It is an amenable number.

20123001101133 is a deficient number, since it is larger than the sum of its proper divisors (14551271270067).

20123001101133 is a wasteful number, since it uses less digits than its factorization.

20123001101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270579 (or 2270573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20123001101133 its reverse (33110110032102), we get a palindrome (53233111133235).

The spelling of 20123001101133 in words is "twenty trillion, one hundred twenty-three billion, one million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 769 1281 1647 2307 3843 5383 6921 11529 16149 20763 46909 48447 140727 145341 328363 422181 985089 1266543 2269733 2955267 6809199 8865801 15888131 20427597 47664393 61282791 138453713 142993179 415361139 428979537 969175991 1246083417 1745424677 2907527973 3738250251 5236274031 8722583919 12217972739 15708822093 26167751757 36653918217 47126466279 106470905297 109961754651 319412715891 329885263953 745296337079 958238147673 2235889011237 2874714443019 6707667033711 20123001101133