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1331313030 = 23354930789
BaseRepresentation
bin100111101011010…
…0011100110000110
310102210002201011000
41033112203212012
510211304004110
6340034354130
744663655045
oct11726434606
93383081130
101331313030
11623545203
12311a2b946
13182a7c7b8
14c8b5255c
157bd281c0
hex4f5a3986

1331313030 has 32 divisors (see below), whose sum is σ = 3550168800. Its totient is φ = 355016736.

The previous prime is 1331313013. The next prime is 1331313031. The reversal of 1331313030 is 303131331.

1331313030 is a `hidden beast` number, since 1 + 331 + 31 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331312994 and 1331313012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331313031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2465125 + ... + 2465664.

It is an arithmetic number, because the mean of its divisors is an integer number (110942775).

Almost surely, 21331313030 is an apocalyptic number.

1331313030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331313030 is an abundant number, since it is smaller than the sum of its proper divisors (2218855770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331313030 is a wasteful number, since it uses less digits than its factorization.

1331313030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930805 (or 4930799 counting only the distinct ones).

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

The square root of 1331313030 is about 36487.1625369800. The cubic root of 1331313030 is about 1100.0862274004.

Adding to 1331313030 its reverse (303131331), we get a palindrome (1634444361).

It can be divided in two parts, 133131 and 3030, that added together give a square (136161 = 3692).

The spelling of 1331313030 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 4930789 9861578 14792367 24653945 29584734 44377101 49307890 73961835 88754202 133131303 147923670 221885505 266262606 443771010 665656515 1331313030