Search a number
-
+
121321303123121 = 1012911914125131
BaseRepresentation
bin11011100101011101010001…
…001011010010010010110001
3120220120012111012201021021122
4123211131101023102102301
5111400212012044414441
61110010123124232025
734361113663341323
oct3345352113222261
9526505435637248
10121321303123121
1135725091856082
1211734a6ab3b615
13529071bb8b3ba
1421d5da79d5613
15e05ca390234b
hex6e57512d24b1

121321303123121 has 8 divisors (see below), whose sum is σ = 122522954609088. Its totient is φ = 120119660470000.

The previous prime is 121321303123109. The next prime is 121321303123127.

121321303123121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121321303123121 - 226 = 121321236014257 is a prime.

It is a super-3 number, since 3×1213213031231213 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121321303123127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27347726 + ... + 31472856.

It is an arithmetic number, because the mean of its divisors is an integer number (15315369326136).

Almost surely, 2121321303123121 is an apocalyptic number.

It is an amenable number.

121321303123121 is a deficient number, since it is larger than the sum of its proper divisors (1201651485967).

121321303123121 is a wasteful number, since it uses less digits than its factorization.

121321303123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416423.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 12132130 and 3123121, that added together give a palindrome (15255251).

The spelling of 121321303123121 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, three hundred three million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 101 291191 4125131 29410291 416638231 1201201021021 121321303123121