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11231003145213 = 3253193507724029
BaseRepresentation
bin1010001101101110101111…
…1100111111001111111101
31110202200011220211022201100
42203123223330333033331
52433002043301121323
635515241314403313
72236261504416645
oct243335374771775
943680156738640
1011231003145213
113640050535a75
121314788290539
136361048a6c67
142ab824dcb525
1514722685a943
hexa36ebf3f3fd

11231003145213 has 48 divisors (see below), whose sum is σ = 16618250815920. Its totient is φ = 7306258931712.

The previous prime is 11231003145203. The next prime is 11231003145233. The reversal of 11231003145213 is 31254130013211.

11231003145213 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 100 + 31 + 4 + 521 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4300488832644 + 6930514312569 = 2073762^2 + 2632587^2 .

It is not a de Polignac number, because 11231003145213 - 25 = 11231003145181 is a prime.

It is a super-2 number, since 2×112310031452132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231003145203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467381683 + ... + 467405711.

It is an arithmetic number, because the mean of its divisors is an integer number (346213558665).

Almost surely, 211231003145213 is an apocalyptic number.

It is an amenable number.

11231003145213 is a deficient number, since it is larger than the sum of its proper divisors (5387247670707).

11231003145213 is a wasteful number, since it uses less digits than its factorization.

11231003145213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29358 (or 29355 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11231003145213 its reverse (31254130013211), we get a palindrome (42485133158424).

The spelling of 11231003145213 in words is "eleven trillion, two hundred thirty-one billion, three million, one hundred forty-five thousand, two hundred thirteen".

Divisors: 1 3 9 53 159 193 477 579 1737 5077 10229 15231 24029 30687 45693 72087 92061 216261 269081 807243 979861 1273537 2421729 2939583 3820611 4637597 8818749 11461833 13912791 41738373 51932633 121995233 155797899 245792641 365985699 467393697 737377923 1097957097 2212133769 6465747349 19397242047 23545079969 58191726141 70635239907 211905719721 1247889238357 3743667715071 11231003145213