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1300120031 = 71131643641
BaseRepresentation
bin100110101111110…
…0100000111011111
310100121101221101202
41031133210013133
510130312320111
6333002030115
744134560260
oct11537440737
93317357352
101300120031
1160797a471
123034a833b
1317947a7c2
14c4952967
1579215b3b
hex4d7e41df

1300120031 has 8 divisors (see below), whose sum is σ = 1499001504. Its totient is φ = 1104526080.

The previous prime is 1300120013. The next prime is 1300120123. The reversal of 1300120031 is 1300210031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1300120031 - 226 = 1233011167 is a prime.

It is a super-2 number, since 2×13001200312 = 3380624190014881922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300119994 and 1300120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300120231) 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 7 ways as a sum of consecutive naturals, for example, 821030 + ... + 822611.

It is an arithmetic number, because the mean of its divisors is an integer number (187375188).

Almost surely, 21300120031 is an apocalyptic number.

1300120031 is a deficient number, since it is larger than the sum of its proper divisors (198881473).

1300120031 is a wasteful number, since it uses less digits than its factorization.

1300120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643761.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1300120031 is about 36057.1772467008. The cubic root of 1300120031 is about 1091.4264720220.

Adding to 1300120031 its reverse (1300210031), we get a palindrome (2600330062).

Subtracting 1300120031 from its reverse (1300210031), we obtain a square (90000 = 3002).

The spelling of 1300120031 in words is "one billion, three hundred million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 113 791 1643641 11505487 185731433 1300120031