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10221947977 is a prime number
BaseRepresentation
bin10011000010100011…
…01000110001001001
3222101101101202111211
421201101220301021
5131413304313402
64410151453121
7511211060413
oct114121506111
928341352454
1010221947977
11437602889a
121b933871a1
13c6b98a737
146cd8199b3
153ec6004d7
hex261468c49

10221947977 has 2 divisors, whose sum is σ = 10221947978. Its totient is φ = 10221947976.

The previous prime is 10221947963. The next prime is 10221947987. The reversal of 10221947977 is 77974912201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7908722761 + 2313225216 = 88931^2 + 48096^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221947977 - 231 = 8074464329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221947977.

It is not a weakly prime, because it can be changed into another prime (10221947987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110973988 + 5110973989.

It is an arithmetic number, because the mean of its divisors is an integer number (5110973989).

Almost surely, 210221947977 is an apocalyptic number.

It is an amenable number.

10221947977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221947977 is an equidigital number, since it uses as much as digits as its factorization.

10221947977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 444528, while the sum is 49.

The spelling of 10221947977 in words is "ten billion, two hundred twenty-one million, nine hundred forty-seven thousand, nine hundred seventy-seven".