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33315300133 is a prime number
BaseRepresentation
bin11111000001101111…
…110010001100100101
310011222210121121011221
4133001233302030211
51021212204101013
623145502300341
72256404243623
oct370157621445
9104883547157
1033315300133
11131466890a5
1265592876b1
1331ac1a355b
141880888513
15ceec0008d
hex7c1bf2325

33315300133 has 2 divisors, whose sum is σ = 33315300134. Its totient is φ = 33315300132.

The previous prime is 33315300127. The next prime is 33315300167. The reversal of 33315300133 is 33100351333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31356618084 + 1958682049 = 177078^2 + 44257^2 .

It is a cyclic number.

It is not a de Polignac number, because 33315300133 - 217 = 33315169061 is a prime.

It is a super-2 number, since 2×333153001332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33315300098 and 33315300107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33315300173) 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, 16657650066 + 16657650067.

It is an arithmetic number, because the mean of its divisors is an integer number (16657650067).

Almost surely, 233315300133 is an apocalyptic number.

It is an amenable number.

33315300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33315300133 is an equidigital number, since it uses as much as digits as its factorization.

33315300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 25.

Adding to 33315300133 its reverse (33100351333), we get a palindrome (66415651466).

The spelling of 33315300133 in words is "thirty-three billion, three hundred fifteen million, three hundred thousand, one hundred thirty-three".