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133102993 is a prime number
BaseRepresentation
bin1111110111011…
…11110110010001
3100021110022222111
413323233312101
5233033243433
621112505321
73204233242
oct773576621
9307408874
10133102993
1169151281
12386ab241
1321763c8a
141396acc9
15ba42dcd
hex7eefd91

133102993 has 2 divisors, whose sum is σ = 133102994. Its totient is φ = 133102992.

The previous prime is 133102969. The next prime is 133103021. The reversal of 133102993 is 399201331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 17497489 = 10752^2 + 4183^2 .

It is an emirp because it is prime and its reverse (399201331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133102993 - 221 = 131005841 is a prime.

It is not a weakly prime, because it can be changed into another prime (133102903) 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, 66551496 + 66551497.

It is an arithmetic number, because the mean of its divisors is an integer number (66551497).

Almost surely, 2133102993 is an apocalyptic number.

It is an amenable number.

133102993 is a deficient number, since it is larger than the sum of its proper divisors (1).

133102993 is an equidigital number, since it uses as much as digits as its factorization.

133102993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 133102993 is about 11537.0270433938. The cubic root of 133102993 is about 510.5785987418.

The spelling of 133102993 in words is "one hundred thirty-three million, one hundred two thousand, nine hundred ninety-three".