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10311323121 = 3211255140829
BaseRepresentation
bin10011001101001101…
…00100110111110001
3222121121120111011100
421212212210313301
5132104144314441
64423103235013
7513344541351
oct114646446761
928547514140
1010311323121
114411522750
121bb92a8a69
13c84351138
146db642b61
154053a6cb6
hex2669a4df1

10311323121 has 24 divisors (see below), whose sum is σ = 16254912960. Its totient is φ = 6246684000.

The previous prime is 10311323119. The next prime is 10311323153. The reversal of 10311323121 is 12132311301.

10311323121 is a `hidden beast` number, since 10 + 311 + 32 + 312 + 1 = 666.

It is not a de Polignac number, because 10311323121 - 21 = 10311323119 is a prime.

It is a super-3 number, since 3×103113231213 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10311323094 and 10311323103.

It is not an unprimeable number, because it can be changed into a prime (10311323101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232135 + ... + 272963.

It is an arithmetic number, because the mean of its divisors is an integer number (677288040).

Almost surely, 210311323121 is an apocalyptic number.

10311323121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10311323121 is a deficient number, since it is larger than the sum of its proper divisors (5943589839).

10311323121 is a wasteful number, since it uses less digits than its factorization.

10311323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43397 (or 43394 counting only the distinct ones).

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

Adding to 10311323121 its reverse (12132311301), we get a palindrome (22443634422).

The spelling of 10311323121 in words is "ten billion, three hundred eleven million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 2551 7653 22959 28061 40829 84183 122487 252549 367461 449119 1347357 4042071 104154779 312464337 937393011 1145702569 3437107707 10311323121