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11311333452013 = 72424335440189
BaseRepresentation
bin1010010010011010000000…
…0000110010100011101101
31111001100112021110201110111
42210212200000302203231
52440311102330431023
640020204351540021
72245134246645100
oct244464000624355
944040467421414
1011311333452013
113671122936481
12132826682a611
1364086728b38a
142b1685988737
15149378d2300d
hexa49a00328ed

11311333452013 has 12 divisors (see below), whose sum is σ = 13158394280220. Its totient is φ = 9695198403072.

The previous prime is 11311333451989. The next prime is 11311333452019. The reversal of 11311333452013 is 31025433311311.

It can be written as a sum of positive squares in 2 ways, for example, as 6098025258724 + 5213308193289 = 2469418^2 + 2283267^2 .

It is not a de Polignac number, because 11311333452013 - 237 = 11173894498541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311333452019) 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 11 ways as a sum of consecutive naturals, for example, 640878 + ... + 4799311.

It is an arithmetic number, because the mean of its divisors is an integer number (1096532856685).

Almost surely, 211311333452013 is an apocalyptic number.

It is an amenable number.

11311333452013 is a deficient number, since it is larger than the sum of its proper divisors (1847060828207).

11311333452013 is an equidigital number, since it uses as much as digits as its factorization.

11311333452013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482636 (or 5482629 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 11311333452013 its reverse (31025433311311), we get a palindrome (42336766763324).

The spelling of 11311333452013 in words is "eleven trillion, three hundred eleven billion, three hundred thirty-three million, four hundred fifty-two thousand, thirteen".

Divisors: 1 7 49 42433 297031 2079217 5440189 38081323 266569261 230843539837 1615904778859 11311333452013