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220131012301 is a prime number
BaseRepresentation
bin1100110100000011010…
…1001010111011001101
3210001012022100001211121
43031000311022323031
512101312014343201
6245043215320541
721622023505654
oct3150065127315
9701168301747
10220131012301
11853a2243752
12367b5520151
13179b1ba8285
14a92394c19b
155ad596d9a1
hex3340d4aecd

220131012301 has 2 divisors, whose sum is σ = 220131012302. Its totient is φ = 220131012300.

The previous prime is 220131012289. The next prime is 220131012337. The reversal of 220131012301 is 103210131022.

220131012301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110523667401 + 109607344900 = 332451^2 + 331070^2 .

It is a cyclic number.

It is not a de Polignac number, because 220131012301 - 227 = 219996794573 is a prime.

It is a super-3 number, since 3×2201310123013 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220131012371) 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, 110065506150 + 110065506151.

It is an arithmetic number, because the mean of its divisors is an integer number (110065506151).

Almost surely, 2220131012301 is an apocalyptic number.

It is an amenable number.

220131012301 is a deficient number, since it is larger than the sum of its proper divisors (1).

220131012301 is an equidigital number, since it uses as much as digits as its factorization.

220131012301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 220131012301 its reverse (103210131022), we get a palindrome (323341143323).

The spelling of 220131012301 in words is "two hundred twenty billion, one hundred thirty-one million, twelve thousand, three hundred one".