Search a number
-
+
13212402102221 = 73229741722679
BaseRepresentation
bin1100000001000100000010…
…0010001010111111001101
31201210002112000112021200012
43000101000202022333031
53212432444414232341
644033405502443005
72532364432601000
oct300210042127715
951702460467605
1013212402102221
1142343915a3953
12159479a893465
1374ac025384ca
143396ab2b5537
1517da418080eb
hexc044088afcd

13212402102221 has 32 divisors (see below), whose sum is σ = 15478102080000. Its totient is φ = 11273444977536.

The previous prime is 13212402102191. The next prime is 13212402102223. The reversal of 13212402102221 is 12220120421231.

It is not a de Polignac number, because 13212402102221 - 214 = 13212402085837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212402102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582571760 + ... + 582594438.

It is an arithmetic number, because the mean of its divisors is an integer number (483690690000).

Almost surely, 213212402102221 is an apocalyptic number.

It is an amenable number.

13212402102221 is a deficient number, since it is larger than the sum of its proper divisors (2265699977779).

13212402102221 is an equidigital number, since it uses as much as digits as its factorization.

13212402102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30346 (or 30332 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13212402102221 its reverse (12220120421231), we get a palindrome (25432522523452).

The spelling of 13212402102221 in words is "thirteen trillion, two hundred twelve billion, four hundred two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 7 49 229 343 1603 7417 11221 22679 51919 78547 158753 363433 1111271 1698493 2544031 5193491 7778897 11889451 36354437 83226157 168210143 254481059 582583099 1177471001 1781367413 8242297007 38520122747 57696079049 269640859229 1887486014603 13212402102221