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131131300221 = 3412714598737
BaseRepresentation
bin111101000100000001…
…0001101100101111101
3110112110202200020210000
41322020002031211331
54122024103101341
6140124010504513
712321361442505
oct1721002154575
9415422606700
10131131300221
1150681222799
12214b7735139
13c49a39424c
1464bd834a05
15362732d8b6
hex1e8808d97d

131131300221 has 40 divisors (see below), whose sum is σ = 197587850240. Its totient is φ = 86663146752.

The previous prime is 131131300219. The next prime is 131131300229. The reversal of 131131300221 is 122003131131.

131131300221 is a `hidden beast` number, since 1 + 311 + 3 + 130 + 0 + 221 = 666.

It is not a de Polignac number, because 131131300221 - 21 = 131131300219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131131300194 and 131131300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131300229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15004365 + ... + 15013101.

It is an arithmetic number, because the mean of its divisors is an integer number (4939696256).

Almost surely, 2131131300221 is an apocalyptic number.

It is an amenable number.

131131300221 is a deficient number, since it is larger than the sum of its proper divisors (66456550019).

131131300221 is a wasteful number, since it uses less digits than its factorization.

131131300221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10335 (or 10326 counting only the distinct ones).

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

Adding to 131131300221 its reverse (122003131131), we get a palindrome (253134431352).

The spelling of 131131300221 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 127 381 1143 1459 3429 4377 8737 10287 13131 26211 39393 78633 118179 185293 235899 555879 707697 1109599 1667637 3328797 5002911 9986391 12747283 15008733 29959173 38241849 89877519 114725547 344176641 1032529923 1618904941 4856714823 14570144469 43710433407 131131300221