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247572000133 is a prime number
BaseRepresentation
bin1110011010010001110…
…0001110110110000101
3212200000201101200110021
43212210130032312011
513024011413001013
6305422155055141
723613031164643
oct3464434166605
9780021350407
10247572000133
1195aa3a37a97
123bb934414b1
131a46604b793
14bda8184193
15668eab1a8d
hex39a470ed85

247572000133 has 2 divisors, whose sum is σ = 247572000134. Its totient is φ = 247572000132.

The previous prime is 247572000107. The next prime is 247572000209. The reversal of 247572000133 is 331000275742.

247572000133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246609573604 + 962426529 = 496598^2 + 31023^2 .

It is a cyclic number.

It is not a de Polignac number, because 247572000133 - 25 = 247572000101 is a prime.

It is a super-2 number, since 2×2475720001332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (247572001133) 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, 123786000066 + 123786000067.

It is an arithmetic number, because the mean of its divisors is an integer number (123786000067).

Almost surely, 2247572000133 is an apocalyptic number.

It is an amenable number.

247572000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

247572000133 is an equidigital number, since it uses as much as digits as its factorization.

247572000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 34.

Adding to 247572000133 its reverse (331000275742), we get a palindrome (578572275875).

The spelling of 247572000133 in words is "two hundred forty-seven billion, five hundred seventy-two million, one hundred thirty-three", and thus it is an aban number.