Search a number
-
+
131220212221131 = 311289197101320353
BaseRepresentation
bin11101110101100000010110…
…001000110000010011001011
3122012121112022012120121122220
4131311200112020300103023
5114144402443312034011
61143025422220345123
736432230120356065
oct3565402610602313
9565545265517586
10131220212221131
11388a11a7993200
12128734336a51a3
13582b0224c0647
142459140c52735
151028513970506
hex7758162304cb

131220212221131 has 96 divisors (see below), whose sum is σ = 195662256229440. Its totient is φ = 78153607741440.

The previous prime is 131220212221129. The next prime is 131220212221157. The reversal of 131220212221131 is 131122212022131.

It is not a de Polignac number, because 131220212221131 - 21 = 131220212221129 is a prime.

It is a super-2 number, since 2×1312202122211312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131220210221131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6447207051 + ... + 6447227403.

It is an arithmetic number, because the mean of its divisors is an integer number (2038148502390).

Almost surely, 2131220212221131 is an apocalyptic number.

131220212221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131220212221131 is a deficient number, since it is larger than the sum of its proper divisors (64442044008309).

131220212221131 is a wasteful number, since it uses less digits than its factorization.

131220212221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21677 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131220212221131 its reverse (131122212022131), we get a palindrome (262342424243262).

The spelling of 131220212221131 in words is "one hundred thirty-one trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 89 121 197 267 363 591 979 1013 2167 2937 3039 6501 10769 11143 17533 20353 23837 32307 33429 52599 61059 71511 90157 122573 192863 199561 223883 270471 367719 578589 598683 671649 991727 1811417 2121493 2195171 2462713 2975181 4009541 5434251 6364479 6585513 7388139 10908997 12028623 17760929 19925587 20617589 24146881 32726991 44104951 53282787 59776761 61852767 72440643 132314853 195370219 219181457 226793479 356849149 485154461 586110657 657544371 680380437 1070547447 1455463383 1834965421 2149072409 2494728269 3925340639 4061665033 5504896263 6447217227 7484184807 11776021917 12184995099 20184619631 43178747029 44678315363 60553858893 129536241087 134034946089 222030815941 361488187937 491461468993 666092447823 1084464563811 1474384406979 3976370067307 11929110201921 43740070740377 131220212221131