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113332023132003 = 321319201125351351
BaseRepresentation
bin11001110001001100101010…
…111110101111111101100011
3112212021102202112220202001100
4121301030222332233331203
5104323312440410211003
61041012002423205443
732604653120032224
oct3161145276577543
9485242675822040
10113332023132003
1133124928553215
12108646092a6883
134b312191ab280
141ddb428d8124b
15d1805cb70ba3
hex67132afaff63

113332023132003 has 48 divisors (see below), whose sum is σ = 185665189615360. Its totient is φ = 66039252696000.

The previous prime is 113332023131981. The next prime is 113332023132043. The reversal of 113332023132003 is 300231320233311.

113332023132003 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 320 + 2 + 313 + 20 + 0 + 3 = 666.

It is not a de Polignac number, because 113332023132003 - 26 = 113332023131939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113332023132043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8205223 + ... + 17146128.

Almost surely, 2113332023132003 is an apocalyptic number.

113332023132003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113332023132003 is a deficient number, since it is larger than the sum of its proper divisors (72333166483357).

113332023132003 is a wasteful number, since it uses less digits than its factorization.

113332023132003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25353400 (or 25353397 counting only the distinct ones).

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

Adding to 113332023132003 its reverse (300231320233311), we get a palindrome (413563343365314).

The spelling of 113332023132003 in words is "one hundred thirteen trillion, three hundred thirty-two billion, twenty-three million, one hundred thirty-two thousand, three".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2011 2223 6033 18099 26143 38209 78429 114627 235287 343881 496717 1490151 4470453 25351351 76054053 228162159 329567563 481675669 988702689 1445027007 2966108067 4335081021 6261783697 18785351091 50981566861 56356053273 152944700583 458834101749 662760369193 968649770359 1988281107579 2905949311077 5964843322737 8717847933231 12592447014667 37777341044001 113332023132003