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1303412031 = 32892237297
BaseRepresentation
bin100110110110000…
…0111110100111111
310100211121012011200
41031230013310333
510132133141111
6333200350543
744204551035
oct11554076477
93324535150
101303412031
11609818829
12304615453
1317a06102c
14c516c555
1579666256
hex4db07d3f

1303412031 has 24 divisors (see below), whose sum is σ = 1912659840. Its totient is φ = 855207936.

The previous prime is 1303412023. The next prime is 1303412039. The reversal of 1303412031 is 1302143031.

It is an interprime number because it is at equal distance from previous prime (1303412023) and next prime (1303412039).

It is not a de Polignac number, because 1303412031 - 23 = 1303412023 is a prime.

It is a super-3 number, since 3×13034120313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1303411995 and 1303412013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303412039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174975 + ... + 182271.

It is an arithmetic number, because the mean of its divisors is an integer number (79694160).

Almost surely, 21303412031 is an apocalyptic number.

1303412031 is a deficient number, since it is larger than the sum of its proper divisors (609247809).

1303412031 is a wasteful number, since it uses less digits than its factorization.

1303412031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1303412031 is about 36102.7981048561. The cubic root of 1303412031 is about 1092.3468864347.

Adding to 1303412031 its reverse (1302143031), we get a palindrome (2605555062).

The spelling of 1303412031 in words is "one billion, three hundred three million, four hundred twelve thousand, thirty-one".

Divisors: 1 3 9 89 223 267 669 801 2007 7297 19847 21891 59541 65673 178623 649433 1627231 1948299 4881693 5844897 14645079 144823559 434470677 1303412031