Search a number
-
+
1303202020131 = 3211231220346901
BaseRepresentation
bin10010111101101100111…
…001001011101100100011
311121120210101111221002100
4102331230321023230203
5132322424204121011
62434403250021443
7163103363254134
oct22755471135443
94546711457070
101303202020131
11462759625320
1219069b877883
1395b785c25cb
144710a93bc8b
1523d750c1d56
hex12f6ce4bb23

1303202020131 has 48 divisors (see below), whose sum is σ = 2143035677952. Its totient is φ = 755401416000.

The previous prime is 1303202020121. The next prime is 1303202020163. The reversal of 1303202020131 is 1310202023031.

1303202020131 is a `hidden beast` number, since 13 + 0 + 320 + 202 + 0 + 131 = 666.

It is not a de Polignac number, because 1303202020131 - 218 = 1303201757987 is a prime.

It is a super-2 number, since 2×13032020201312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1303202020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27762781 + ... + 27809681.

It is an arithmetic number, because the mean of its divisors is an integer number (44646576624).

Almost surely, 21303202020131 is an apocalyptic number.

1303202020131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303202020131 is a deficient number, since it is larger than the sum of its proper divisors (839833657821).

1303202020131 is a wasteful number, since it uses less digits than its factorization.

1303202020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59144 (or 59141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1303202020131 its reverse (1310202023031), we get a palindrome (2613404043162).

The spelling of 1303202020131 in words is "one trillion, three hundred three billion, two hundred two million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 12203 36609 46901 109827 134233 140703 280669 402699 422109 515911 842007 1078723 1208097 1547733 2526021 3087359 3236169 4643199 9262077 9708507 11865953 27786231 35597859 106793577 572332903 1716998709 5150996127 6295661933 13163656769 18886985799 39490970307 56660957397 118472910921 144800224459 434400673377 1303202020131