Search a number
-
+
121142134221229 = 11296914969247799
BaseRepresentation
bin11011100010110110011001…
…111000001010100110101101
3120212221002000121211000022101
4123202312121320022212231
5111334243042330034404
61105351532253015101
734342142005655632
oct3342663170124655
9525832017730271
10121142134221229
11356660aa665240
12117061a7784491
1352798674977a4
1421cb44c33c189
15e012b91652a4
hex6e2d99e0a9ad

121142134221229 has 16 divisors (see below), whose sum is σ = 132208932240000. Its totient is φ = 110084320971520.

The previous prime is 121142134221209. The next prime is 121142134221271. The reversal of 121142134221229 is 922122431241121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121142134221229 is a prime.

It is a super-3 number, since 3×1211421342212293 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121142134221209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488748672 + ... + 488996470.

It is an arithmetic number, because the mean of its divisors is an integer number (8263058265000).

Almost surely, 2121142134221229 is an apocalyptic number.

It is an amenable number.

121142134221229 is a deficient number, since it is larger than the sum of its proper divisors (11066798018771).

121142134221229 is a wasteful number, since it uses less digits than its factorization.

121142134221229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265748.

The product of its digits is 27648, while the sum is 37.

The spelling of 121142134221229 in words is "one hundred twenty-one trillion, one hundred forty-two billion, one hundred thirty-four million, two hundred twenty-one thousand, two hundred twenty-nine".

Divisors: 1 11 2969 14969 32659 164659 247799 2725789 44442961 488872571 735715231 3709303231 8092867541 40802335541 11012921292839 121142134221229