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10312142321 = 132393319003
BaseRepresentation
bin10011001101010011…
…01100110111110001
3222121200010002220002
421212221230313301
5132104402023241
64423132555345
7513354522605
oct114651546761
928550102802
1010312142321
114411a32178
121bb9622b55
13c84579c80
146db7b7505
154054b989b
hex266a6cdf1

10312142321 has 8 divisors (see below), whose sum is σ = 11151853440. Its totient is φ = 9479069712.

The previous prime is 10312142303. The next prime is 10312142329. The reversal of 10312142321 is 12324121301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10312142321 - 222 = 10307948017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10312142293 and 10312142302.

It is not an unprimeable number, because it can be changed into a prime (10312142329) 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 7 ways as a sum of consecutive naturals, for example, 1656395 + ... + 1662608.

It is an arithmetic number, because the mean of its divisors is an integer number (1393981680).

Almost surely, 210312142321 is an apocalyptic number.

It is an amenable number.

10312142321 is a deficient number, since it is larger than the sum of its proper divisors (839711119).

10312142321 is a wasteful number, since it uses less digits than its factorization.

10312142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319255.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10312142321 its reverse (12324121301), we get a palindrome (22636263622).

The spelling of 10312142321 in words is "ten billion, three hundred twelve million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 13 239 3107 3319003 43147039 793241717 10312142321