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121002330117 = 38316710872677
BaseRepresentation
bin111000010110001001…
…1010000100000000101
3102120022212020020221010
41300230103100200011
53440303044030432
6131330535512433
711512356556434
oct1605423204005
9376285206833
10121002330117
114735372a619
121b54b528719
13b544a5c006
145bdc4dd11b
153232e973cc
hex1c2c4d0805

121002330117 has 32 divisors (see below), whose sum is σ = 164470505472. Its totient is φ = 79116646464.

The previous prime is 121002330083. The next prime is 121002330143. The reversal of 121002330117 is 711033200121.

It is a happy number.

It is not a de Polignac number, because 121002330117 - 210 = 121002329093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121002330093 and 121002330102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002330157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45199383 + ... + 45202059.

It is an arithmetic number, because the mean of its divisors is an integer number (5139703296).

Almost surely, 2121002330117 is an apocalyptic number.

It is an amenable number.

121002330117 is a deficient number, since it is larger than the sum of its proper divisors (43468175355).

121002330117 is a wasteful number, since it uses less digits than its factorization.

121002330117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017.

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 121002330117 its reverse (711033200121), we get a palindrome (832035530238).

The spelling of 121002330117 in words is "one hundred twenty-one billion, two million, three hundred thirty thousand, one hundred seventeen".

Divisors: 1 3 83 167 249 501 1087 2677 3261 8031 13861 41583 90221 181529 222191 270663 447059 544587 666573 1341177 2909899 8729697 15066907 37105897 45200721 111317691 241521617 485953133 724564851 1457859399 40334110039 121002330117