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121123102113 = 33132347319223
BaseRepresentation
bin111000011001101111…
…1111101110110100001
3102120122021111002222000
41300303133331312201
53441030003231423
6131350532234213
711515354244406
oct1606337756641
9376567432860
10121123102113
1147405919392
121b583a6b969
13b563a96430
145c1057a2ad
15323d8a1843
hex1c337fdda1

121123102113 has 64 divisors (see below), whose sum is σ = 205937786880. Its totient is φ = 69779375424.

The previous prime is 121123102081. The next prime is 121123102117. The reversal of 121123102113 is 311201321121.

It is not a de Polignac number, because 121123102113 - 25 = 121123102081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121123102117) 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 63 ways as a sum of consecutive naturals, for example, 219820 + ... + 539042.

It is an arithmetic number, because the mean of its divisors is an integer number (3217777920).

Almost surely, 2121123102113 is an apocalyptic number.

121123102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121123102113 is a deficient number, since it is larger than the sum of its proper divisors (84814684767).

121123102113 is a wasteful number, since it uses less digits than its factorization.

121123102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319315 (or 319309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121123102113 its reverse (311201321121), we get a palindrome (432324423234).

The spelling of 121123102113 in words is "one hundred twenty-one billion, one hundred twenty-three million, one hundred two thousand, one hundred thirteen".

Divisors: 1 3 9 13 23 27 39 47 69 117 141 207 299 351 423 611 621 897 1081 1269 1833 2691 3243 5499 8073 9729 14053 16497 29187 42159 126477 319223 379431 957669 2873007 4149899 7342129 8619021 12449697 15003481 22026387 37349091 45010443 66079161 95447677 112047273 135031329 195045253 198237483 286343031 345080063 405093987 585135759 859029093 1035240189 1755407277 2577087279 3105720567 4486040819 5266221831 9317161701 13458122457 40374367371 121123102113