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13221301321300 = 2252132213013213
BaseRepresentation
bin1100000001100101001011…
…1101111111111001010100
31201210221111012222110020211
43000121102331333321110
53213104211114240200
644041440523535204
72533131112655062
oct300312275777124
951727435873224
1013221301321300
114238138a0a966
12159646308a504
1374b9c0160707
14339cb3175032
1517ddb2c28aba
hexc0652f7fe54

13221301321300 has 18 divisors (see below), whose sum is σ = 28690223867438. Its totient is φ = 5288520528480.

The previous prime is 13221301321297. The next prime is 13221301321321. The reversal of 13221301321300 is 312310312231.

It can be written as a sum of positive squares in 3 ways, for example, as 192406804164 + 13028894517136 = 438642^2 + 3609556^2 .

It is a super-3 number, since 3×132213013213003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66106506507 + ... + 66106506706.

Almost surely, 213221301321300 is an apocalyptic number.

13221301321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221301321300 is an abundant number, since it is smaller than the sum of its proper divisors (15468922546138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221301321300 is a wasteful number, since it uses less digits than its factorization.

13221301321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132213013227 (or 132213013220 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13221301321300 its reverse (312310312231), we get a palindrome (13533611633531).

The spelling of 13221301321300 in words is "thirteen trillion, two hundred twenty-one billion, three hundred one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132213013213 264426026426 528852052852 661065066065 1322130132130 2644260264260 3305325330325 6610650660650 13221301321300