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32213233331321 = 72172231213142963
BaseRepresentation
bin1110101001100001110100…
…10101000110110001111001
311020001112222121200011210212
413110300322111012301321
513210240200213100241
6152302315522320505
76533220644325200
oct724607225066171
9136045877604725
1032213233331321
11a29a612466799
1237431827b9135
1314c890581bb43
147d51b3664237
153ace17dbcbeb
hex1d4c3a546c79

32213233331321 has 48 divisors (see below), whose sum is σ = 39887861819904. Its totient is φ = 25849103325696.

The previous prime is 32213233331297. The next prime is 32213233331327. The reversal of 32213233331321 is 12313333231223.

It is a happy number.

It is not a de Polignac number, because 32213233331321 - 230 = 32212159589497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32213233331327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225254186 + ... + 225397148.

It is an arithmetic number, because the mean of its divisors is an integer number (830997121248).

Almost surely, 232213233331321 is an apocalyptic number.

It is an amenable number.

32213233331321 is a deficient number, since it is larger than the sum of its proper divisors (7674628488583).

32213233331321 is a wasteful number, since it uses less digits than its factorization.

32213233331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144430 (or 144423 counting only the distinct ones).

The product of its digits is 34992, while the sum is 32.

Adding to 32213233331321 its reverse (12313333231223), we get a palindrome (44526566562544).

The spelling of 32213233331321 in words is "thirty-two trillion, two hundred thirteen billion, two hundred thirty-three million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 17 49 119 223 833 1213 1561 3791 8491 10927 20621 26537 59437 142963 144347 185759 270499 1000741 1010429 1893493 2430371 4598483 7005187 13254451 17012597 31880749 32189381 119088179 173414119 223165243 225325667 541972733 1213898833 1562156701 2948040023 3793809131 8497291831 20636280161 26556663917 38671348537 144453961127 270699439759 657412925129 1894896078313 4601890475903 32213233331321