Search a number
-
+
121431242134121 = 1956326574272449
BaseRepresentation
bin11011100111000011101010…
…000011010101001001101001
3120220221201021001100200110212
4123213003222003111021221
5111404012140441242441
61110132424214550505
734402055244455303
oct3347035203251151
9526851231320425
10121431242134121
113576777852a257
1211752231368435
13529abbc85312a
1421db436a60973
15e08a8a49deeb
hex6e70ea0d5269

121431242134121 has 16 divisors (see below), whose sum is σ = 128097621288000. Its totient is φ = 114792543019008.

The previous prime is 121431242134087. The next prime is 121431242134133.

121431242134121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121431242134121 - 226 = 121431175025257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121431242134151) 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 15 ways as a sum of consecutive naturals, for example, 26285705 + ... + 30558153.

It is an arithmetic number, because the mean of its divisors is an integer number (8006101330500).

Almost surely, 2121431242134121 is an apocalyptic number.

It is an amenable number.

121431242134121 is a deficient number, since it is larger than the sum of its proper divisors (6666379153879).

121431242134121 is a wasteful number, since it uses less digits than its factorization.

121431242134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275688.

The product of its digits is 9216, while the sum is 32.

The spelling of 121431242134121 in words is "one hundred twenty-one trillion, four hundred thirty-one billion, two hundred forty-two million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 19 563 2657 10697 50483 1495891 4272449 28421929 81176531 2405388787 11351896993 45702386953 215686042867 6391118007059 121431242134121