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1331503121 = 13176024901
BaseRepresentation
bin100111101011101…
…0010000000010001
310102210110100220102
41033113102000101
510211331044441
6340042422145
744665406204
oct11727220021
93383410812
101331503121
11623665003
12311b01955
13182b18190
14c8ba193b
157bd6469b
hex4f5d2011

1331503121 has 8 divisors (see below), whose sum is σ = 1518275304. Its totient is φ = 1156780800.

The previous prime is 1331503093. The next prime is 1331503123. The reversal of 1331503121 is 1213051331.

It can be written as a sum of positive squares in 4 ways, for example, as 338560000 + 992943121 = 18400^2 + 31511^2 .

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 1331503121 - 210 = 1331502097 is a prime.

It is a super-2 number, since 2×13315031212 = 3545801122465481282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331503093 and 1331503102.

It is not an unprimeable number, because it can be changed into a prime (1331503123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3012230 + ... + 3012671.

It is an arithmetic number, because the mean of its divisors is an integer number (189784413).

Almost surely, 21331503121 is an apocalyptic number.

It is an amenable number.

1331503121 is a deficient number, since it is larger than the sum of its proper divisors (186772183).

1331503121 is a wasteful number, since it uses less digits than its factorization.

1331503121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024931.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1331503121 is about 36489.7673464767. The cubic root of 1331503121 is about 1100.1385833663.

Adding to 1331503121 its reverse (1213051331), we get a palindrome (2544554452).

The spelling of 1331503121 in words is "one billion, three hundred thirty-one million, five hundred three thousand, one hundred twenty-one".

Divisors: 1 13 17 221 6024901 78323713 102423317 1331503121