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1300041042013 = 7244815920877
BaseRepresentation
bin10010111010110000011…
…111000000100001011101
311121021122002120121021201
4102322300133000201131
5132244441001321023
62433121451155501
7162632141346400
oct22726037004135
94537562517251
101300041042013
1146138730470a
1218bb59145b91
139579376735c
1446ccabcdd37
1523c3c830bad
hex12eb07c085d

1300041042013 has 12 divisors (see below), whose sum is σ = 1512630386172. Its totient is φ = 1114072028160.

The previous prime is 1300041041951. The next prime is 1300041042029. The reversal of 1300041042013 is 3102401400031.

It can be written as a sum of positive squares in 2 ways, for example, as 808609197529 + 491431844484 = 899227^2 + 701022^2 .

It is a de Polignac number, because none of the positive numbers 2k-1300041042013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300041043013) 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, 2740870 + ... + 3180007.

It is an arithmetic number, because the mean of its divisors is an integer number (126052532181).

Almost surely, 21300041042013 is an apocalyptic number.

It is an amenable number.

1300041042013 is a deficient number, since it is larger than the sum of its proper divisors (212589344159).

1300041042013 is an equidigital number, since it uses as much as digits as its factorization.

1300041042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925372 (or 5925365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1300041042013 its reverse (3102401400031), we get a palindrome (4402442442044).

The spelling of 1300041042013 in words is "one trillion, three hundred billion, forty-one million, forty-two thousand, thirteen".

Divisors: 1 7 49 4481 31367 219569 5920877 41446139 290122973 26531449837 185720148859 1300041042013