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13122010300221 = 323739405436337
BaseRepresentation
bin1011111011110011010011…
…0000110011111100111101
31201110110012110101222020200
42332330310300303330331
53204442334114101341
643524100204434113
72523014435135364
oct276746460637475
951413173358220
1013122010300221
1141aa0167a7159
12157b172848939
137425284b5234
143351743487db
1517b500d86db6
hexbef34c33f3d

13122010300221 has 12 divisors (see below), whose sum is σ = 19466285550972. Its totient is φ = 8511574248576.

The previous prime is 13122010300213. The next prime is 13122010300283. The reversal of 13122010300221 is 12200301022131.

13122010300221 is a `hidden beast` number, since 1 + 312 + 20 + 10 + 300 + 2 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11701120076100 + 1420890224121 = 3420690^2 + 1192011^2 .

It is not a de Polignac number, because 13122010300221 - 23 = 13122010300213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13122010300194 and 13122010300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122010300211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19702717836 + ... + 19702718501.

It is an arithmetic number, because the mean of its divisors is an integer number (1622190462581).

Almost surely, 213122010300221 is an apocalyptic number.

It is an amenable number.

13122010300221 is a deficient number, since it is larger than the sum of its proper divisors (6344275250751).

13122010300221 is a wasteful number, since it uses less digits than its factorization.

13122010300221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39405436380 (or 39405436377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122010300221 its reverse (12200301022131), we get a palindrome (25322311322352).

The spelling of 13122010300221 in words is "thirteen trillion, one hundred twenty-two billion, ten million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 39405436337 118216309011 354648927033 1458001144469 4374003433407 13122010300221