Search a number
-
+
33122113001 is a prime number
BaseRepresentation
bin11110110110001110…
…110101010111101001
310011111100002200020222
4132312032311113221
51020313230104001
623114401455425
72251540213055
oct366616652751
9104440080228
1033122113001
111305762980a
126504641575
13317b163243
141862d5ac65
15cdcc8e61b
hex7b63b55e9

33122113001 has 2 divisors, whose sum is σ = 33122113002. Its totient is φ = 33122113000.

The previous prime is 33122112973. The next prime is 33122113027. The reversal of 33122113001 is 10031122133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18979195225 + 14142917776 = 137765^2 + 118924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33122113001 is a prime.

It is not a weakly prime, because it can be changed into another prime (33122113201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16561056500 + 16561056501.

It is an arithmetic number, because the mean of its divisors is an integer number (16561056501).

Almost surely, 233122113001 is an apocalyptic number.

It is an amenable number.

33122113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122113001 is an equidigital number, since it uses as much as digits as its factorization.

33122113001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33122113001 its reverse (10031122133), we get a palindrome (43153235134).

The spelling of 33122113001 in words is "thirty-three billion, one hundred twenty-two million, one hundred thirteen thousand, one".