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1331303031 = 321737235171
BaseRepresentation
bin100111101011010…
…0001001001110111
310102210002012102200
41033112201021313
510211303144111
6340034235543
744663613642
oct11726411167
93383065380
101331303031
11623538743
12311a25bb3
13182a78096
14c8b4ca59
157bd25256
hex4f5a1277

1331303031 has 24 divisors (see below), whose sum is σ = 2091149424. Its totient is φ = 812747520.

The previous prime is 1331303003. The next prime is 1331303041. The reversal of 1331303031 is 1303031331.

1331303031 is a `hidden beast` number, since 1 + 331 + 30 + 303 + 1 = 666.

It is not a de Polignac number, because 1331303031 - 214 = 1331286647 is a prime.

It is a super-2 number, since 2×13313030312 = 3544735520699573922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331302995 and 1331303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331303041) 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 23 ways as a sum of consecutive naturals, for example, 111925 + ... + 123246.

It is an arithmetic number, because the mean of its divisors is an integer number (87131226).

Almost surely, 21331303031 is an apocalyptic number.

1331303031 is a deficient number, since it is larger than the sum of its proper divisors (759846393).

1331303031 is a wasteful number, since it uses less digits than its factorization.

1331303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235231 (or 235228 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1331303031 is about 36487.0255159283. The cubic root of 1331303031 is about 1100.0834732798.

Adding to 1331303031 its reverse (1303031331), we get a palindrome (2634334362).

It can be divided in two parts, 133130 and 3031, that added together give a square (136161 = 3692).

The spelling of 1331303031 in words is "one billion, three hundred thirty-one million, three hundred three thousand, thirty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 235171 705513 2116539 3997907 8701327 11993721 26103981 35981163 78311943 147922559 443767677 1331303031