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10345585327 = 711134358251
BaseRepresentation
bin10011010001010010…
…10001101010101111
3222201000001012001221
421220221101222233
5132141432212302
64430325444211
7514242011230
oct115051215257
928630035057
1010345585327
1144298a4420
122008870667
13c8b48912c
14702001087
154083c3937
hex268a51aaf

10345585327 has 8 divisors (see below), whose sum is σ = 12898392192. Its totient is φ = 8061495000.

The previous prime is 10345585321. The next prime is 10345585351. The reversal of 10345585327 is 72358554301.

10345585327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10345585327 - 27 = 10345585199 is a prime.

It is a super-2 number, since 2×103455853272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345585321) 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 7 ways as a sum of consecutive naturals, for example, 67179049 + ... + 67179202.

It is an arithmetic number, because the mean of its divisors is an integer number (1612299024).

Almost surely, 210345585327 is an apocalyptic number.

10345585327 is a deficient number, since it is larger than the sum of its proper divisors (2552806865).

10345585327 is a wasteful number, since it uses less digits than its factorization.

10345585327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134358269.

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 10345585327 in words is "ten billion, three hundred forty-five million, five hundred eighty-five thousand, three hundred twenty-seven".

Divisors: 1 7 11 77 134358251 940507757 1477940761 10345585327