Search a number
-
+
22133041000041 = 319267769939619
BaseRepresentation
bin1010000100001010000000…
…00010111110111001101001
32220100220020200102102001210
411002011000002332321221
510400111431444000131
6115023440105303333
74443026250251436
oct502050002767151
986326220372053
1022133041000041
11706362a701324
122595646794b49
13c471a175ac2a
14567360012b8d
15285ae7b69146
hex1421400bee69

22133041000041 has 48 divisors (see below), whose sum is σ = 31615428768000. Its totient is φ = 13767988408416.

The previous prime is 22133041000039. The next prime is 22133041000069. The reversal of 22133041000041 is 14000014033122.

It is not a de Polignac number, because 22133041000041 - 21 = 22133041000039 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22133040999981 and 22133041000017.

It is not an unprimeable number, because it can be changed into a prime (22133041000141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558627330 + ... + 558666948.

It is an arithmetic number, because the mean of its divisors is an integer number (658654766000).

Almost surely, 222133041000041 is an apocalyptic number.

It is an amenable number.

22133041000041 is a deficient number, since it is larger than the sum of its proper divisors (9482387767959).

22133041000041 is a wasteful number, since it uses less digits than its factorization.

22133041000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47426 (or 47407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22133041000041 its reverse (14000014033122), we get a palindrome (36133055033163).

The spelling of 22133041000041 in words is "twenty-two trillion, one hundred thirty-three billion, forty-one million, forty-one", and thus it is an aban number.

Divisors: 1 3 19 57 67 201 361 1083 1273 3819 7699 23097 24187 39619 72561 118857 146281 438843 515833 752761 1547499 2258283 2654473 2779339 7963419 8338017 9800827 14302459 29402481 42907377 50434987 151304961 186215713 305026681 558647139 915080043 958264753 2874794259 5795506939 17386520817 20436787627 61310362881 110114631841 330343895523 388298964913 1164896894739 7377680333347 22133041000041