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20133141204131 = 23374111313033919
BaseRepresentation
bin1001001001111100111001…
…01110101100110010100011
32122021201011020010110021022
410210332130232230302203
510114330133122013011
6110453012024120055
74145400002415524
oct444763456546243
978251136113238
1020133141204131
11646246538133a
122311b3030602b
13b30715bac227
144d86409a884b
1524da988818db
hex124f9cbacca3

20133141204131 has 64 divisors (see below), whose sum is σ = 22320948142080. Its totient is φ = 18100001525760.

The previous prime is 20133141204119. The next prime is 20133141204157. The reversal of 20133141204131 is 13140214133102.

It is a cyclic number.

It is not a de Polignac number, because 20133141204131 - 218 = 20133140941987 is a prime.

It is a super-2 number, since 2×201331412041312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20133141204131.

It is not an unprimeable number, because it can be changed into a prime (20133141204331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5137313990 + ... + 5137317908.

It is an arithmetic number, because the mean of its divisors is an integer number (348764814720).

Almost surely, 220133141204131 is an apocalyptic number.

20133141204131 is a deficient number, since it is larger than the sum of its proper divisors (2187806937949).

20133141204131 is a wasteful number, since it uses less digits than its factorization.

20133141204131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 20133141204131 its reverse (13140214133102), we get a palindrome (33273355337233).

The spelling of 20133141204131 in words is "twenty trillion, one hundred thirty-three billion, one hundred forty-one million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 23 37 41 113 851 943 1303 1517 2599 3919 4181 4633 29969 34891 48211 53423 90137 96163 106559 145003 147239 160679 171421 442847 1108853 1228729 1976651 3335069 3386497 3695617 3942683 5106457 5447843 5945123 6036799 10185481 16385339 18156727 45462973 117448511 125300389 136737829 138846377 188938909 209364737 223361563 376862797 417604721 577029641 671798899 4345594907 4815388951 5137315949 7746495269 13271681743 15451374677 21350096717 23658215281 178169391187 491052224491 544138951463 875353965397 20133141204131