Search a number
-
+
1331593081 = 721324012
BaseRepresentation
bin100111101011110…
…0111111101111001
310102210121221022021
41033113213331321
510211341434311
6340044354441
744666232400
oct11727477571
93383557267
101331593081
11623716655
12311b45a21
13182b4a100
14c8bc6637
157bd81171
hex4f5e7f79

1331593081 has 27 divisors (see below), whose sum is σ = 1681508493. Its totient is φ = 1050940800.

The previous prime is 1331593079. The next prime is 1331593117. The reversal of 1331593081 is 1803951331.

The square root of 1331593081 is 36491.

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

It can be written as a sum of positive squares in 4 ways, for example, as 112466025 + 1219127056 = 10605^2 + 34916^2 .

It is not a de Polignac number, because 1331593081 - 21 = 1331593079 is a prime.

It is a super-2 number, since 2×13315930812 = 3546280266734145122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331593031) 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, 3320481 + ... + 3320881.

Almost surely, 21331593081 is an apocalyptic number.

1331593081 is the 36491-st square number.

1331593081 is the 18246-th centered octagonal number.

It is an amenable number.

1331593081 is a deficient number, since it is larger than the sum of its proper divisors (349915412).

1331593081 is an frugal number, since it uses more digits than its factorization.

1331593081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The cubic root of 1331593081 is about 1100.1633589343.

The spelling of 1331593081 in words is "one billion, three hundred thirty-one million, five hundred ninety-three thousand, eighty-one".

Divisors: 1 7 13 49 91 169 401 637 1183 2807 5213 8281 19649 36491 67769 160801 255437 474383 1125607 2090413 3320681 7879249 14632891 27175369 102430237 190227583 1331593081