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1012132001 is a prime number
BaseRepresentation
bin111100010100111…
…110100010100001
32121112111122002102
4330110332202201
54033101211001
6244233300145
734036660106
oct7424764241
92545448072
101012132001
1147a35a831
12242b64655
131318c729a
14985c8aad
155dccae6b
hex3c53e8a1

1012132001 has 2 divisors, whose sum is σ = 1012132002. Its totient is φ = 1012132000.

The previous prime is 1012131977. The next prime is 1012132019. The reversal of 1012132001 is 1002312101.

1012132001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 699549601 + 312582400 = 26449^2 + 17680^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012132001 - 226 = 945023137 is a prime.

It is a super-2 number, since 2×10121320012 = 2048822374896528002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1012132021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506066000 + 506066001.

It is an arithmetic number, because the mean of its divisors is an integer number (506066001).

Almost surely, 21012132001 is an apocalyptic number.

It is an amenable number.

1012132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012132001 is an equidigital number, since it uses as much as digits as its factorization.

1012132001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1012132001 is about 31814.0220814659. The cubic root of 1012132001 is about 1004.0277557365.

Adding to 1012132001 its reverse (1002312101), we get a palindrome (2014444102).

The spelling of 1012132001 in words is "one billion, twelve million, one hundred thirty-two thousand, one".