Search a number
-
+
2032002442033 is a prime number
BaseRepresentation
bin11101100100011100110…
…010001010001100110001
321012020221202002100101221
4131210130302022030301
5231243020111121113
64153253344225041
7266543625526234
oct35443462121461
97166852070357
102032002442033
1171384944a193
1228999560b181
1311980374a1c5
14704c6c2b41b
1537ccc7ec98d
hex1d91cc8a331

2032002442033 has 2 divisors, whose sum is σ = 2032002442034. Its totient is φ = 2032002442032.

The previous prime is 2032002442007. The next prime is 2032002442037. The reversal of 2032002442033 is 3302442002302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1563280097344 + 468722344689 = 1250312^2 + 684633^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032002442033 - 213 = 2032002433841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2032002441989 and 2032002442007.

It is not a weakly prime, because it can be changed into another prime (2032002442037) 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, 1016001221016 + 1016001221017.

It is an arithmetic number, because the mean of its divisors is an integer number (1016001221017).

Almost surely, 22032002442033 is an apocalyptic number.

It is an amenable number.

2032002442033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2032002442033 is an equidigital number, since it uses as much as digits as its factorization.

2032002442033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 2032002442033 its reverse (3302442002302), we get a palindrome (5334444444335).

The spelling of 2032002442033 in words is "two trillion, thirty-two billion, two million, four hundred forty-two thousand, thirty-three".