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31301222202221 is a prime number
BaseRepresentation
bin1110001110111111000100…
…01110101111101101101101
311002211100220222211111222012
413013133202032233231231
513100314400340432341
6150323325530531005
76410303315536436
oct707374216575555
9132740828744865
1031301222202221
119a78856a03924
123616477b96a65
13146090080276a
147a2db6da448d
1539433b1730eb
hex1c77e23afb6d

31301222202221 has 2 divisors, whose sum is σ = 31301222202222. Its totient is φ = 31301222202220.

The previous prime is 31301222202209. The next prime is 31301222202227. The reversal of 31301222202221 is 12220222210313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27123899379721 + 4177322822500 = 5208061^2 + 2043850^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31301222202221 is a prime.

It is a super-2 number, since 2×313012222022212 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31301222202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650611101110 + 15650611101111.

It is an arithmetic number, because the mean of its divisors is an integer number (15650611101111).

Almost surely, 231301222202221 is an apocalyptic number.

It is an amenable number.

31301222202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

31301222202221 is an equidigital number, since it uses as much as digits as its factorization.

31301222202221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 31301222202221 its reverse (12220222210313), we get a palindrome (43521444412534).

The spelling of 31301222202221 in words is "thirty-one trillion, three hundred one billion, two hundred twenty-two million, two hundred two thousand, two hundred twenty-one".