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13216221402321 = 372899911019357
BaseRepresentation
bin1100000001010010010000…
…1011101001010011010001
31201210110101012012211110110
43000110210023221103101
53213013310134333241
644035240455351533
72532561200242500
oct300244413512321
951713335184413
1013216221402321
114235a71487613
1215954859825a9
1374b39089c5b2
1433995062c837
1517dbb6c87816
hexc05242e94d1

13216221402321 has 48 divisors (see below), whose sum is σ = 20749888350720. Its totient is φ = 7459728756480.

The previous prime is 13216221402283. The next prime is 13216221402331. The reversal of 13216221402321 is 12320412261231.

It is a happy number.

It is not a de Polignac number, because 13216221402321 - 215 = 13216221369553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13216221402331) 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 47 ways as a sum of consecutive naturals, for example, 12455575 + ... + 13474931.

It is an arithmetic number, because the mean of its divisors is an integer number (432289340640).

Almost surely, 213216221402321 is an apocalyptic number.

It is an amenable number.

13216221402321 is a deficient number, since it is larger than the sum of its proper divisors (7533666948399).

13216221402321 is a wasteful number, since it uses less digits than its factorization.

13216221402321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020454 (or 1020447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13216221402321 its reverse (12320412261231), we get a palindrome (25536633663552).

The spelling of 13216221402321 in words is "thirteen trillion, two hundred sixteen billion, two hundred twenty-one million, four hundred two thousand, three hundred twenty-one".

Divisors: 1 3 7 21 49 89 147 267 623 991 1869 2973 4361 6937 13083 20811 48559 88199 145677 264597 617393 1019357 1852179 3058071 4321751 7135499 12965253 21406497 49948493 90722773 149845479 272168319 635059411 1010182787 1905178233 3030548361 4445415877 7071279509 13336247631 21213838527 49498956563 89906268043 148496869689 269718804129 629343876301 1888031628903 4405407134107 13216221402321