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1305200041 = 17198945403
BaseRepresentation
bin100110111001011…
…1100010110101001
310100221222000212021
41031302330112221
510133112400131
6333302544441
744226005635
oct11562742651
93327860767
101305200041
1160a82a122
12305138121
1317a538b22
14c54b5dc5
15798bae11
hex4dcbc5a9

1305200041 has 16 divisors (see below), whose sum is σ = 1471089600. Its totient is φ = 1150668288.

The previous prime is 1305200033. The next prime is 1305200047. The reversal of 1305200041 is 1400025031.

It is a cyclic number.

It is not a de Polignac number, because 1305200041 - 23 = 1305200033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305199988 and 1305200024.

It is not an unprimeable number, because it can be changed into a prime (1305200047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6046 + ... + 51448.

It is an arithmetic number, because the mean of its divisors is an integer number (91943100).

Almost surely, 21305200041 is an apocalyptic number.

It is an amenable number.

1305200041 is a deficient number, since it is larger than the sum of its proper divisors (165889559).

1305200041 is a wasteful number, since it uses less digits than its factorization.

1305200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45528.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1305200041 is about 36127.5523804201. The cubic root of 1305200041 is about 1092.8461490612.

Adding to 1305200041 its reverse (1400025031), we get a palindrome (2705225072).

The spelling of 1305200041 in words is "one billion, three hundred five million, two hundred thousand, forty-one".

Divisors: 1 17 19 89 323 1513 1691 28747 45403 771851 862657 4040867 14665169 68694739 76776473 1305200041