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1012132021 is a prime number
BaseRepresentation
bin111100010100111…
…110100010110101
32121112111122010011
4330110332202311
54033101211041
6244233300221
734036660135
oct7424764265
92545448104
101012132021
1147a35a84a
12242b64671
131318c72b4
14985c8ac5
155dccae81
hex3c53e8b5

1012132021 has 2 divisors, whose sum is σ = 1012132022. Its totient is φ = 1012132020.

The previous prime is 1012132019. The next prime is 1012132039. The reversal of 1012132021 is 1202312101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1010349796 + 1782225 = 31786^2 + 1335^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012132021 - 21 = 1012132019 is a prime.

It is a super-2 number, since 2×10121320212 = 2048822455867088882, which contains 22 as substring.

Together with 1012132019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1012131992 and 1012132010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506066010 + 506066011.

It is an arithmetic number, because the mean of its divisors is an integer number (506066011).

Almost surely, 21012132021 is an apocalyptic number.

It is an amenable number.

1012132021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012132021 is an equidigital number, since it uses as much as digits as its factorization.

1012132021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1012132021 is about 31814.0223957927. The cubic root of 1012132021 is about 1004.0277623498.

Adding to 1012132021 its reverse (1202312101), we get a palindrome (2214444122).

The spelling of 1012132021 in words is "one billion, twelve million, one hundred thirty-two thousand, twenty-one".