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10020321131301 = 331377893665159
BaseRepresentation
bin1001000111010000100110…
…1011100111101100100101
31022110221012102000200102000
42101310021223213230211
52303133104202200201
633151134425235513
72052641620201125
oct221641153475445
938427172020360
1010020321131301
11321365a05a808
12115a009332b99
13578bb221c280
14268db3d28c85
151259b8e93d86
hex91d09ae7b25

10020321131301 has 32 divisors (see below), whose sum is σ = 15988893984000. Its totient is φ = 6165558108864.

The previous prime is 10020321131299. The next prime is 10020321131309. The reversal of 10020321131301 is 10313112302001.

10020321131301 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 321 + 1 + 31 + 301 = 666.

10020321131301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10020321131301 - 21 = 10020321131299 is a prime.

It is a super-3 number, since 3×100203211313013 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020321131309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901360 + ... + 4566518.

It is an arithmetic number, because the mean of its divisors is an integer number (499652937000).

Almost surely, 210020321131301 is an apocalyptic number.

It is an amenable number.

10020321131301 is a deficient number, since it is larger than the sum of its proper divisors (5968572852699).

10020321131301 is a wasteful number, since it uses less digits than its factorization.

10020321131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672970 (or 3672964 counting only the distinct ones).

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

Adding to 10020321131301 its reverse (10313112302001), we get a palindrome (20333433433302).

The spelling of 10020321131301 in words is "ten trillion, twenty billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 13 27 39 117 351 7789 23367 70101 101257 210303 303771 911313 2733939 3665159 10995477 32986431 47647067 98959293 142941201 428823603 1286470809 28547923451 85643770353 256931311059 371123004863 770793933177 1113369014589 3340107043767 10020321131301