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305412205241 = 11136750516311
BaseRepresentation
bin1000111000110111111…
…11000110101010111001
31002012022200221112121002
410130123333012222321
520000441011031431
6352145431254345
731031253624353
oct4343377065271
91065280845532
10305412205241
111085852561a0
124b235b1a3b5
1322a531b3310
1410ad3c640d3
157e278da3cb
hex471bfc6ab9

305412205241 has 32 divisors (see below), whose sum is σ = 364291070976. Its totient is φ = 252374760000.

The previous prime is 305412205183. The next prime is 305412205253. The reversal of 305412205241 is 142502214503.

It is not a de Polignac number, because 305412205241 - 26 = 305412205177 is a prime.

It is a super-2 number, since 2×3054122052412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305412205261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48390476 + ... + 48396786.

It is an arithmetic number, because the mean of its divisors is an integer number (11384095968).

Almost surely, 2305412205241 is an apocalyptic number.

It is an amenable number.

305412205241 is a deficient number, since it is larger than the sum of its proper divisors (58878865735).

305412205241 is a wasteful number, since it uses less digits than its factorization.

305412205241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 305412205241 its reverse (142502214503), we get a palindrome (447914419744).

The spelling of 305412205241 in words is "three hundred five billion, four hundred twelve million, two hundred five thousand, two hundred forty-one".

Divisors: 1 11 13 67 143 737 871 5051 6311 9581 55561 65663 69421 82043 338417 422837 722293 902473 3722587 4399421 4651207 5496881 31876861 48393631 60465691 350645471 414399193 2135749687 4558391123 23493246557 27764745931 305412205241