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13000023031221 = 322973682308457
BaseRepresentation
bin1011110100101100110111…
…0000010011110110110101
31201000210022221211122011200
42331023031300103312311
53200443021343444341
643352043402123113
72511135455353662
oct275131560236665
951023287748150
1013000023031221
114162308100466
12155b5a94b0499
13733b87690465
1432d2c10dca69
151782616d5db6
hexbd2cdc13db5

13000023031221 has 24 divisors (see below), whose sum is σ = 19691422097880. Its totient is φ = 8253203083776.

The previous prime is 13000023031183. The next prime is 13000023031241. The reversal of 13000023031221 is 12213032000031.

13000023031221 is a `hidden beast` number, since 1 + 300 + 0 + 0 + 2 + 30 + 312 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2355040128996 + 10644982902225 = 1534614^2 + 3262665^2 .

It is not a de Polignac number, because 13000023031221 - 218 = 13000022769077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13000023031194 and 13000023031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000023031241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341135176 + ... + 341173281.

It is an arithmetic number, because the mean of its divisors is an integer number (820475920745).

Almost surely, 213000023031221 is an apocalyptic number.

It is an amenable number.

13000023031221 is a deficient number, since it is larger than the sum of its proper divisors (6691399066659).

13000023031221 is a wasteful number, since it uses less digits than its factorization.

13000023031221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682308565 (or 682308562 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13000023031221 its reverse (12213032000031), we get a palindrome (25213055031252).

The spelling of 13000023031221 in words is "thirteen trillion, twenty-three million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 29 73 87 219 261 657 2117 6351 19053 682308457 2046925371 6140776113 19786945253 49808517361 59360835759 149425552083 178082507277 448276656249 1444447003469 4333341010407 13000023031221