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2131023011131 = 719232333079739
BaseRepresentation
bin11111000000101010110…
…111101001110100111011
321112201112122202110001001
4133000222313221310323
5234403313342324011
64310551202505431
7306650510503120
oct37005267516473
97481478673031
102131023011131
11751841a30363
122a500b365277
13125c54371c21
14751dbb76747
153a675a6a7c1
hex1f02ade9d3b

2131023011131 has 64 divisors (see below), whose sum is σ = 2695608115200. Its totient is φ = 1642576548096.

The previous prime is 2131023011119. The next prime is 2131023011167. The reversal of 2131023011131 is 1311103201312.

It is a cyclic number.

It is not a de Polignac number, because 2131023011131 - 25 = 2131023011099 is a prime.

It is a super-2 number, since 2×21310230111312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 2131023011099 and 2131023011108.

It is not an unprimeable number, because it can be changed into a prime (2131023011191) 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, 218808460 + ... + 218818198.

It is an arithmetic number, because the mean of its divisors is an integer number (42118876800).

Almost surely, 22131023011131 is an apocalyptic number.

2131023011131 is a deficient number, since it is larger than the sum of its proper divisors (564585104069).

2131023011131 is a wasteful number, since it uses less digits than its factorization.

2131023011131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 2131023011131 its reverse (1311103201312), we get a palindrome (3442126212443).

The spelling of 2131023011131 in words is "two trillion, one hundred thirty-one billion, twenty-three million, eleven thousand, one hundred thirty-one".

Divisors: 1 7 19 23 133 161 233 307 437 1631 2149 3059 4427 5359 5833 7061 9739 30989 37513 40831 49427 68173 71531 101821 134159 185041 223997 500717 712747 939113 1295287 1359089 1567979 1645213 2269187 2989873 4255943 9513623 11516491 15884309 20929111 29791601 31259047 43114553 52191301 56807587 68767079 218813329 301801871 365339107 397653109 481369553 696640409 991634719 1306574501 4876482863 6941443033 9146021507 13236167771 16022729407 92653174397 112159105849 304431858733 2131023011131