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1300003031 = 4121934007
BaseRepresentation
bin100110101111100…
…0111100011010111
310100121011222220102
41031133013203113
510130300044111
6332555324315
744133562205
oct11537074327
93317158812
101300003031
116078aa578
1230345069b
13179439482
14c4922075
15791e113b
hex4d7c78d7

1300003031 has 12 divisors (see below), whose sum is σ = 1339722096. Its totient is φ = 1261409280.

The previous prime is 1300002967. The next prime is 1300003037. The reversal of 1300003031 is 1303000031.

It is not a de Polignac number, because 1300003031 - 26 = 1300002967 is a prime.

It is a super-2 number, since 2×13000030312 = 3380015761218373922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300003037) 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 11 ways as a sum of consecutive naturals, for example, 322430 + ... + 326436.

It is an arithmetic number, because the mean of its divisors is an integer number (111643508).

Almost surely, 21300003031 is an apocalyptic number.

1300003031 is a deficient number, since it is larger than the sum of its proper divisors (39719065).

1300003031 is an equidigital number, since it uses as much as digits as its factorization.

1300003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 1300003031 is about 36055.5547870228. The cubic root of 1300003031 is about 1091.3937312686.

Adding to 1300003031 its reverse (1303000031), we get a palindrome (2603003062).

The spelling of 1300003031 in words is "one billion, three hundred million, three thousand, thirty-one".

Divisors: 1 41 193 1681 4007 7913 164287 324433 773351 6735767 31707391 1300003031