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100032131323 = 171923103130729
BaseRepresentation
bin101110100101001100…
…0010011000011111011
3100120012102002210010201
41131022120103003323
53114331211200243
6113542031423031
710140614041555
oct1351230230373
9316172083121
10100032131323
1139472591913
1217478684a77
13958237c867
144bad4264d5
152906e8504d
hex174a6130fb

100032131323 has 32 divisors (see below), whose sum is σ = 117468748800. Its totient is φ = 84485846016.

The previous prime is 100032131299. The next prime is 100032131341. The reversal of 100032131323 is 323131230001.

It is not a de Polignac number, because 100032131323 - 229 = 99495260411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 100032131323.

It is not an unprimeable number, because it can be changed into a prime (100032131363) 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 31 ways as a sum of consecutive naturals, for example, 699823 + ... + 830551.

It is an arithmetic number, because the mean of its divisors is an integer number (3670898400).

Almost surely, 2100032131323 is an apocalyptic number.

100032131323 is a deficient number, since it is larger than the sum of its proper divisors (17436617477).

100032131323 is a wasteful number, since it uses less digits than its factorization.

100032131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130891.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100032131323 its reverse (323131230001), we get a palindrome (423163361324).

The spelling of 100032131323 in words is "one hundred billion, thirty-two million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 17 19 23 103 323 391 437 1751 1957 2369 7429 33269 40273 45011 130729 765187 2222393 2483851 3006767 13465087 42225467 51115039 57128573 228906479 255836653 309697001 971185741 4349223101 5264849017 5884243019 100032131323