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1302031031 = 71931261167
BaseRepresentation
bin100110110011011…
…0110101010110111
310100202000000210112
41031212312222313
510131304443111
6333111013235
744160036560
oct11546665267
93322000715
101302031031
11608a65204
1230406a21b
13179999582
14c4ccd167
1579491e8b
hex4d9b6ab7

1302031031 has 48 divisors (see below), whose sum is σ = 1654894080. Its totient is φ = 1000382400.

The previous prime is 1302031007. The next prime is 1302031079. The reversal of 1302031031 is 1301302031.

It is not a de Polignac number, because 1302031031 - 210 = 1302030007 is a prime.

It is a super-2 number, since 2×13020310312 = 3390569611373845922, which contains 22 as substring.

1302031031 is a modest number, since divided by 31031 gives 1302 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1302030997 and 1302031015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302031631) 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 47 ways as a sum of consecutive naturals, for example, 7796510 + ... + 7796676.

It is an arithmetic number, because the mean of its divisors is an integer number (34476960).

Almost surely, 21302031031 is an apocalyptic number.

1302031031 is a deficient number, since it is larger than the sum of its proper divisors (352863049).

1302031031 is a wasteful number, since it uses less digits than its factorization.

1302031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 285 counting only the distinct ones).

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

The square root of 1302031031 is about 36083.6670946843. The cubic root of 1302031031 is about 1091.9609598297.

Adding to 1302031031 its reverse (1301302031), we get a palindrome (2603333062).

Subtracting from 1302031031 its reverse (1301302031), we obtain a cube (729000 = 903).

The spelling of 1302031031 in words is "one billion, three hundred two million, thirty-one thousand, thirty-one".

Divisors: 1 7 19 31 61 133 167 217 427 589 961 1159 1169 1891 3173 4123 5177 6727 8113 10187 13237 18259 22211 35929 36239 58621 71309 98363 127813 160487 193553 251503 315797 410347 688541 1113799 1123409 1354871 2210579 3049253 6000143 7796593 9789707 21344771 42001001 68527949 186004433 1302031031