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101223032077 is a prime number
BaseRepresentation
bin101111001000101011…
…1001110010100001101
3100200021101222210212001
41132101113032110031
53124301044011302
6114300132512301
710212254401456
oct1362127162415
9320241883761
10101223032077
1139a23843212
121774b47b691
13971200946b
144c8366812d
1529767c4787
hex17915ce50d

101223032077 has 2 divisors, whose sum is σ = 101223032078. Its totient is φ = 101223032076.

The previous prime is 101223032063. The next prime is 101223032093. The reversal of 101223032077 is 770230322101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88916679721 + 12306352356 = 298189^2 + 110934^2 .

It is a cyclic number.

It is not a de Polignac number, because 101223032077 - 227 = 101088814349 is a prime.

It is a super-2 number, since 2×1012230320772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101223036077) 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, 50611516038 + 50611516039.

It is an arithmetic number, because the mean of its divisors is an integer number (50611516039).

Almost surely, 2101223032077 is an apocalyptic number.

It is an amenable number.

101223032077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223032077 is an equidigital number, since it uses as much as digits as its factorization.

101223032077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

Adding to 101223032077 its reverse (770230322101), we get a palindrome (871453354178).

The spelling of 101223032077 in words is "one hundred one billion, two hundred twenty-three million, thirty-two thousand, seventy-seven".