Search a number
-
+
135103062553309 is a prime number
BaseRepresentation
bin11110101110000000100010…
…000011010011001011011101
3122201100201121201111120210001
4132232000202003103023131
5120202012033003201214
61155201253510414301
740312605556545154
oct3656004203231335
9581321551446701
10135103062553309
113a058983755484
121319ba66361391
135a502197a25b6
14255104761259b
151094519d02c74
hex7ae0220d32dd

135103062553309 has 2 divisors, whose sum is σ = 135103062553310. Its totient is φ = 135103062553308.

The previous prime is 135103062553307. The next prime is 135103062553351. The reversal of 135103062553309 is 903355260301531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130059130496409 + 5043932056900 = 11404347^2 + 2245870^2 .

It is a cyclic number.

It is not a de Polignac number, because 135103062553309 - 21 = 135103062553307 is a prime.

It is a super-2 number, since 2×1351030625533092 (a number of 29 digits) contains 22 as substring.

Together with 135103062553307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135103062553307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67551531276654 + 67551531276655.

It is an arithmetic number, because the mean of its divisors is an integer number (67551531276655).

Almost surely, 2135103062553309 is an apocalyptic number.

It is an amenable number.

135103062553309 is a deficient number, since it is larger than the sum of its proper divisors (1).

135103062553309 is an equidigital number, since it uses as much as digits as its factorization.

135103062553309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1093500, while the sum is 46.

The spelling of 135103062553309 in words is "one hundred thirty-five trillion, one hundred three billion, sixty-two million, five hundred fifty-three thousand, three hundred nine".