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1016908321 = 1121322232
BaseRepresentation
bin111100100111001…
…100101000100001
32121212111021222011
4330213030220201
54040312031241
6244523512521
734125402202
oct7447145041
92555437864
101016908321
11482022300
12244688741
131328aa300
14990ad5a9
155e421281
hex3c9cca21

1016908321 has 27 divisors (see below), whose sum is σ = 1215806067. Its totient is φ = 849522960.

The previous prime is 1016908307. The next prime is 1016908337. The reversal of 1016908321 is 1238096101.

The square root of 1016908321 is 31889.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 150430225 + 866478096 = 12265^2 + 29436^2 .

It is not a de Polignac number, because 1016908321 - 25 = 1016908289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016908021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4560016 + ... + 4560238.

Almost surely, 21016908321 is an apocalyptic number.

1016908321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1016908321 is the 31889-th square number.

1016908321 is the 15945-th centered octagonal number.

It is an amenable number.

1016908321 is a deficient number, since it is larger than the sum of its proper divisors (198897746).

1016908321 is an equidigital number, since it uses as much as digits as its factorization.

1016908321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The cubic root of 1016908321 is about 1005.6046363670.

It can be divided in two parts, 101690 and 8321, that added together give a palindrome (110011).

The spelling of 1016908321 in words is "one billion, sixteen million, nine hundred eight thousand, three hundred twenty-one".

Divisors: 1 11 13 121 143 169 223 1573 1859 2453 2899 20449 26983 31889 37687 49729 350779 414557 547019 646477 4560127 6017209 7111247 8404201 78223717 92446211 1016908321