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1331516431 = 71019971889
BaseRepresentation
bin100111101011101…
…0101010000001111
310102210111001011101
41033113111100033
510211332011211
6340043003531
744665463050
oct11727252017
93383431141
101331516431
11623674003
12311b095a7
13182b2125b
14c8ba6727
157bd685c1
hex4f5d540f

1331516431 has 16 divisors (see below), whose sum is σ = 1539155520. Its totient is φ = 1128268800.

The previous prime is 1331516429. The next prime is 1331516443. The reversal of 1331516431 is 1346151331.

It is a cyclic number.

It is not a de Polignac number, because 1331516431 - 21 = 1331516429 is a prime.

It is a super-2 number, since 2×13315164312 = 3545872012045955522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1331516431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331516491) 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 15 ways as a sum of consecutive naturals, for example, 703935 + ... + 705823.

It is an arithmetic number, because the mean of its divisors is an integer number (96197220).

Almost surely, 21331516431 is an apocalyptic number.

1331516431 is a deficient number, since it is larger than the sum of its proper divisors (207639089).

1331516431 is a wasteful number, since it uses less digits than its factorization.

1331516431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994.

The product of its digits is 3240, while the sum is 28.

The square root of 1331516431 is about 36489.9497259177. The cubic root of 1331516431 is about 1100.1422490970.

Adding to 1331516431 its reverse (1346151331), we get a palindrome (2677667762).

The spelling of 1331516431 in words is "one billion, three hundred thirty-one million, five hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 7 101 707 997 1889 6979 13223 100697 190789 704879 1335523 1883333 13183331 190216633 1331516431