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1303210031 = 47107479541
BaseRepresentation
bin100110110101101…
…0110100000101111
310100211012221002012
41031223112200233
510132110210111
6333152151435
744203050104
oct11553264057
93324187065
101303210031
1160969aa92
1230453857b
13179cc00c6
14c5118aab
157962648b
hex4dad682f

1303210031 has 16 divisors (see below), whose sum is σ = 1348669440. Its totient is φ = 1258593120.

The previous prime is 1303210009. The next prime is 1303210067. The reversal of 1303210031 is 1300123031.

It is a cyclic number.

It is not a de Polignac number, because 1303210031 - 222 = 1299015727 is a prime.

It is a super-2 number, since 2×13032100312 = 3396712769798041922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303209988 and 1303210015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303213031) 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, 2408621 + ... + 2409161.

It is an arithmetic number, because the mean of its divisors is an integer number (84291840).

Almost surely, 21303210031 is an apocalyptic number.

1303210031 is a deficient number, since it is larger than the sum of its proper divisors (45459409).

1303210031 is a wasteful number, since it uses less digits than its factorization.

1303210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1303210031 is about 36100.0004293629. Note that the first 3 decimals coincide. The cubic root of 1303210031 is about 1092.2904536604.

Adding to 1303210031 its reverse (1300123031), we get a palindrome (2603333062).

The spelling of 1303210031 in words is "one billion, three hundred three million, two hundred ten thousand, thirty-one".

Divisors: 1 47 107 479 541 5029 22513 25427 51253 57887 259139 2408891 2720689 12179533 27727873 1303210031