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72312221327 = 257281370511
BaseRepresentation
bin100001101011000100…
…1001110111010001111
320220122120012110020112
41003112021032322033
52141043412040302
653115245510235
75136651511463
oct1032611167217
9226576173215
1072312221327
1128738400195
121202127237b
136a854ab458
1436ddb464a3
151d335e8552
hex10d624ee8f

72312221327 has 4 divisors (see below), whose sum is σ = 72593592096. Its totient is φ = 72030850560.

The previous prime is 72312221323. The next prime is 72312221339.

72312221327 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72312221327 - 22 = 72312221323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72312221293 and 72312221302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72312221323) 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 3 ways as a sum of consecutive naturals, for example, 140684999 + ... + 140685512.

It is an arithmetic number, because the mean of its divisors is an integer number (18148398024).

Almost surely, 272312221327 is an apocalyptic number.

72312221327 is a deficient number, since it is larger than the sum of its proper divisors (281370769).

72312221327 is a wasteful number, since it uses less digits than its factorization.

72312221327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281370768.

The product of its digits is 14112, while the sum is 32.

The spelling of 72312221327 in words is "seventy-two billion, three hundred twelve million, two hundred twenty-one thousand, three hundred twenty-seven".

Divisors: 1 257 281370511 72312221327