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10355321331 = 321336786077
BaseRepresentation
bin10011010010011100…
…11010100111110011
3222201200100211100200
421221032122213303
5132201430240311
64431314250243
7514420531125
oct115116324763
928650324320
1010355321331
114434344203
12200bb86983
13c904b7794
14703417215
15409198556
hex26939a9f3

10355321331 has 12 divisors (see below), whose sum is σ = 14958979152. Its totient is φ = 6902950896.

The previous prime is 10355321329. The next prime is 10355321359. The reversal of 10355321331 is 13312355301.

10355321331 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 321 + 331 = 666.

It is not a de Polignac number, because 10355321331 - 21 = 10355321329 is a prime.

It is a super-3 number, since 3×103553213313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10355321295 and 10355321304.

It is not an unprimeable number, because it can be changed into a prime (10355321311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77265 + ... + 163341.

It is an arithmetic number, because the mean of its divisors is an integer number (1246581596).

Almost surely, 210355321331 is an apocalyptic number.

10355321331 is a deficient number, since it is larger than the sum of its proper divisors (4603657821).

10355321331 is a wasteful number, since it uses less digits than its factorization.

10355321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99450 (or 99447 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 10355321331 its reverse (13312355301), we get a palindrome (23667676632).

The spelling of 10355321331 in words is "ten billion, three hundred fifty-five million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13367 40101 86077 120303 258231 774693 1150591259 3451773777 10355321331