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131223008221 is a prime number
BaseRepresentation
bin111101000110110000…
…0000011001111011101
3110112201011020111111121
41322031200003033131
54122221042230341
6140141044250541
712323554110664
oct1721540031735
9415634214447
10131223008221
1150718a70328
12215223a0a51
13c4b3393736
1464cbaa7ddb
1536303e64d1
hex1e8d8033dd

131223008221 has 2 divisors, whose sum is σ = 131223008222. Its totient is φ = 131223008220.

The previous prime is 131223008219. The next prime is 131223008227. The reversal of 131223008221 is 122800322131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131040380025 + 182628196 = 361995^2 + 13514^2 .

It is a cyclic number.

It is not a de Polignac number, because 131223008221 - 21 = 131223008219 is a prime.

Together with 131223008219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131223008227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65611504110 + 65611504111.

It is an arithmetic number, because the mean of its divisors is an integer number (65611504111).

Almost surely, 2131223008221 is an apocalyptic number.

It is an amenable number.

131223008221 is a deficient number, since it is larger than the sum of its proper divisors (1).

131223008221 is an equidigital number, since it uses as much as digits as its factorization.

131223008221 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 25.

The spelling of 131223008221 in words is "one hundred thirty-one billion, two hundred twenty-three million, eight thousand, two hundred twenty-one".