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1022332013 is a prime number
BaseRepresentation
bin111100111011111…
…000110001101101
32122020200211212122
4330323320301231
54043204111023
6245240042325
734222451543
oct7473706155
92566624778
101022332013
1148509719a
122464633a5
13133a58bb1
1499ac1d93
155eb432c8
hex3cef8c6d

1022332013 has 2 divisors, whose sum is σ = 1022332014. Its totient is φ = 1022332012.

The previous prime is 1022331997. The next prime is 1022332019. The reversal of 1022332013 is 3102332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802758889 + 219573124 = 28333^2 + 14818^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022332013 - 24 = 1022331997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022331982 and 1022332000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022332019) 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, 511166006 + 511166007.

It is an arithmetic number, because the mean of its divisors is an integer number (511166007).

Almost surely, 21022332013 is an apocalyptic number.

It is an amenable number.

1022332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022332013 is an equidigital number, since it uses as much as digits as its factorization.

1022332013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1022332013 is about 31973.9270812955. The cubic root of 1022332013 is about 1007.3892685557.

Adding to 1022332013 its reverse (3102332201), we get a palindrome (4124664214).

The spelling of 1022332013 in words is "one billion, twenty-two million, three hundred thirty-two thousand, thirteen".