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135034310993 is a prime number
BaseRepresentation
bin111110111000010101…
…1000001000101010001
3110220112202212202000112
41331300223001011101
54203022240422433
6142011153531105
712520163463611
oct1756053010521
9426482782015
10135034310993
11522a439152a
1222206873a95
13c96cb8768a
14676dd3ca41
1537a4ce6348
hex1f70ac1151

135034310993 has 2 divisors, whose sum is σ = 135034310994. Its totient is φ = 135034310992.

The previous prime is 135034310989. The next prime is 135034311031. The reversal of 135034310993 is 399013430531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117770453329 + 17263857664 = 343177^2 + 131392^2 .

It is a cyclic number.

It is not a de Polignac number, because 135034310993 - 22 = 135034310989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135034310993.

It is not a weakly prime, because it can be changed into another prime (135034310933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67517155496 + 67517155497.

It is an arithmetic number, because the mean of its divisors is an integer number (67517155497).

Almost surely, 2135034310993 is an apocalyptic number.

It is an amenable number.

135034310993 is a deficient number, since it is larger than the sum of its proper divisors (1).

135034310993 is an equidigital number, since it uses as much as digits as its factorization.

135034310993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131220, while the sum is 41.

The spelling of 135034310993 in words is "one hundred thirty-five billion, thirty-four million, three hundred ten thousand, nine hundred ninety-three".