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1305015023 = 13609116481
BaseRepresentation
bin100110111001000…
…1111001011101111
310100221121122001202
41031302033023233
510133040440043
6333255000115
744224305344
oct11562171357
93327548052
101305015023
1160a713114
1230506903b
1317a4a2850
14c54687cb
15798811b8
hex4dc8f2ef

1305015023 has 8 divisors (see below), whose sum is σ = 1405716816. Its totient is φ = 1204358400.

The previous prime is 1305015017. The next prime is 1305015031. The reversal of 1305015023 is 3205105031.

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

It is a cyclic number.

It is not a de Polignac number, because 1305015023 - 218 = 1304752879 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305014986 and 1305015004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305015083) 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, 70943 + ... + 87423.

It is an arithmetic number, because the mean of its divisors is an integer number (175714602).

Almost surely, 21305015023 is an apocalyptic number.

1305015023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1305015023 is a deficient number, since it is larger than the sum of its proper divisors (100701793).

1305015023 is a wasteful number, since it uses less digits than its factorization.

1305015023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1305015023 is about 36124.9916678191. The cubic root of 1305015023 is about 1092.7945079954.

The spelling of 1305015023 in words is "one billion, three hundred five million, fifteen thousand, twenty-three".

Divisors: 1 13 6091 16481 79183 214253 100385771 1305015023