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1205013121 = 13315415527
BaseRepresentation
bin100011111010011…
…0000101010000001
310002222110000020121
41013310300222001
54431440404441
6315323340241
741601304534
oct10764605201
93088400217
101205013121
11569220214
12297681681
1316285b220
14b6076a1b
1570bcadd1
hex47d30a81

1205013121 has 16 divisors (see below), whose sum is σ = 1342286848. Its totient is φ = 1074254400.

The previous prime is 1205013071. The next prime is 1205013163. The reversal of 1205013121 is 1213105021.

It is a cyclic number.

It is not a de Polignac number, because 1205013121 - 213 = 1205004929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1205013095 and 1205013104.

It is not an unprimeable number, because it can be changed into a prime (1205013181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215260 + ... + 220786.

It is an arithmetic number, because the mean of its divisors is an integer number (83892928).

Almost surely, 21205013121 is an apocalyptic number.

It is an amenable number.

1205013121 is a deficient number, since it is larger than the sum of its proper divisors (137273727).

1205013121 is a wasteful number, since it uses less digits than its factorization.

1205013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1205013121 is about 34713.2989069031. The cubic root of 1205013121 is about 1064.1363010724.

Adding to 1205013121 its reverse (1213105021), we get a palindrome (2418118142).

The spelling of 1205013121 in words is "one billion, two hundred five million, thirteen thousand, one hundred twenty-one".

Divisors: 1 13 31 403 541 5527 7033 16771 71851 171337 218023 2227381 2990107 38871391 92693317 1205013121