Search a number
-
+
121506683967341 is a prime number
BaseRepresentation
bin11011101000001001111010…
…101111000101011101101101
3120221012220222201110220010222
4123220021322233011131231
5111411231142043423331
61110231222223141125
734410365620456031
oct3350117257053555
9527186881426128
10121506683967341
1135796771477152
12117649867447a5
1352a5053526a2a
142200d522ac1c1
15e0aa036deb7b
hex6e827abc576d

121506683967341 has 2 divisors, whose sum is σ = 121506683967342. Its totient is φ = 121506683967340.

The previous prime is 121506683967337. The next prime is 121506683967373. The reversal of 121506683967341 is 143769386605121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81959615454025 + 39547068513316 = 9053155^2 + 6288646^2 .

It is a cyclic number.

It is not a de Polignac number, because 121506683967341 - 22 = 121506683967337 is a prime.

It is a super-2 number, since 2×1215066839673412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121506683937341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60753341983670 + 60753341983671.

It is an arithmetic number, because the mean of its divisors is an integer number (60753341983671).

It is a 1-persistent number, because it is pandigital, but 2⋅121506683967341 = 243013367934682 is not.

Almost surely, 2121506683967341 is an apocalyptic number.

It is an amenable number.

121506683967341 is a deficient number, since it is larger than the sum of its proper divisors (1).

121506683967341 is an equidigital number, since it uses as much as digits as its factorization.

121506683967341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 121506683967341 in words is "one hundred twenty-one trillion, five hundred six billion, six hundred eighty-three million, nine hundred sixty-seven thousand, three hundred forty-one".