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13203213232005 = 325372732935897
BaseRepresentation
bin1100000000100001110011…
…0101011010011110000101
31201202012210122001022102200
43000020130311122132011
53212310140041411010
644025250013225113
72531620634515626
oct300103465323605
951665718038380
1013203213232005
1142304a6731735
121592a55492199
1374a0998c9ab4
14339078b77a4d
1517d6a4c6ecc0
hexc021cd5a785

13203213232005 has 72 divisors (see below), whose sum is σ = 23843026581192. Its totient is φ = 6757540079616.

The previous prime is 13203213232003. The next prime is 13203213232007. The reversal of 13203213232005 is 50023231230231.

It is a happy number.

13203213232005 is a `hidden beast` number, since 1 + 3 + 203 + 2 + 132 + 320 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13203213232003) and next prime (13203213232007).

It can be written as a sum of positive squares in 12 ways, for example, as 731107521 + 13202482124484 = 27039^2 + 3633522^2 .

It is not a de Polignac number, because 13203213232005 - 21 = 13203213232003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13203213232005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203213232003) 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 71 ways as a sum of consecutive naturals, for example, 3029217 + ... + 5965113.

It is an arithmetic number, because the mean of its divisors is an integer number (331153146961).

Almost surely, 213203213232005 is an apocalyptic number.

13203213232005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13203213232005 is a deficient number, since it is larger than the sum of its proper divisors (10639813349187).

13203213232005 is a wasteful number, since it uses less digits than its factorization.

13203213232005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936055 (or 2936015 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13203213232005 its reverse (50023231230231), we get a palindrome (63226444462236).

The spelling of 13203213232005 in words is "thirteen trillion, two hundred three billion, two hundred thirteen million, two hundred thirty-two thousand, five".

Divisors: 1 3 5 9 15 37 45 73 111 185 219 333 365 555 657 1095 1369 1665 2701 3285 4107 6845 8103 12321 13505 20535 24309 40515 61605 99937 121545 299811 499685 899433 1499055 2935897 4497165 8807691 14679485 26423073 44038455 108628189 132115365 214320481 325884567 543140945 642961443 977653701 1071602405 1629422835 1928884329 3214807215 4019242993 4888268505 7929857797 9644421645 12057728979 20096214965 23789573391 36173186937 39649288985 60288644895 71368720173 118947866955 180865934685 293404738489 356843600865 880214215467 1467023692445 2640642646401 4401071077335 13203213232005