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10232023313133 = 3217335227125507
BaseRepresentation
bin1001010011100101010000…
…0111010110101011101101
31100020011122022000210112100
42110321110013112223231
52320120140432010013
633432305425525313
72104145035100256
oct224712407265355
940204568023470
1010232023313133
113295416459366
12119304baa3839
13592b4ca8a29b
14275338261b2d
1512b25995b473
hex94e541d6aed

10232023313133 has 24 divisors (see below), whose sum is σ = 14791064584608. Its totient is φ = 6816054147552.

The previous prime is 10232023313129. The next prime is 10232023313153. The reversal of 10232023313133 is 33131332023201.

10232023313133 is a `hidden beast` number, since 1 + 0 + 2 + 320 + 2 + 331 + 3 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 10232023313133 - 22 = 10232023313129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10232023313097 and 10232023313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232023313123) 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 23 ways as a sum of consecutive naturals, for example, 81462766 + ... + 81588272.

It is an arithmetic number, because the mean of its divisors is an integer number (616294357692).

Almost surely, 210232023313133 is an apocalyptic number.

It is an amenable number.

10232023313133 is a deficient number, since it is larger than the sum of its proper divisors (4559041271475).

10232023313133 is a wasteful number, since it uses less digits than its factorization.

10232023313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132473 (or 132470 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10232023313133 its reverse (33131332023201), we get a palindrome (43363355336334).

The spelling of 10232023313133 in words is "ten trillion, two hundred thirty-two billion, twenty-three million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 1733 5199 5227 15597 15681 47043 125507 376521 1129563 9058391 27175173 81525519 217503631 652510893 656025089 1957532679 1968075267 5904225801 1136891479237 3410674437711 10232023313133