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101303112323 = 7311327351797
BaseRepresentation
bin101111001011000100…
…0101101001010000011
3100200110222200022022002
41132112020231022003
53124432044043243
6114312113134215
710214246150540
oct1362610551203
9320428608262
10101303112323
1139a64a69736
121777225a36b
13972579721a
144c90151bc7
15297d841eb8
hex179622d283

101303112323 has 16 divisors (see below), whose sum is σ = 119600062464. Its totient is φ = 83966669280.

The previous prime is 101303112311. The next prime is 101303112341. The reversal of 101303112323 is 323211303101.

It is a cyclic number.

It is not a de Polignac number, because 101303112323 - 212 = 101303108227 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101303112295 and 101303112304.

It is not an unprimeable number, because it can be changed into a prime (101303112373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112061 + ... + 463857.

It is an arithmetic number, because the mean of its divisors is an integer number (7475003904).

Almost surely, 2101303112323 is an apocalyptic number.

101303112323 is a deficient number, since it is larger than the sum of its proper divisors (18296950141).

101303112323 is a wasteful number, since it uses less digits than its factorization.

101303112323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353162.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101303112323 its reverse (323211303101), we get a palindrome (424514415424).

The spelling of 101303112323 in words is "one hundred one billion, three hundred three million, one hundred twelve thousand, three hundred twenty-three".

Divisors: 1 7 31 217 1327 9289 41137 287959 351797 2462579 10905707 76339949 466834619 3267842333 14471873189 101303112323