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121212100113 = 3135347581261
BaseRepresentation
bin111000011100011001…
…1011101111000010001
3102120212110221200021020
41300320303131320101
53441220244200423
6131403431550053
711520514564656
oct1607063357021
9376773850236
10121212100113
1147451085955
121b5a982b329
13b579357280
145c1c305c2d
1532465d14e3
hex1c38cdde11

121212100113 has 16 divisors (see below), whose sum is σ = 174080993856. Its totient is φ = 74577983040.

The previous prime is 121212100049. The next prime is 121212100171. The reversal of 121212100113 is 311001212121.

It is not a de Polignac number, because 121212100113 - 26 = 121212100049 is a prime.

It is a super-2 number, since 2×1212121001132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121212100092 and 121212100101.

It is not an unprimeable number, because it can be changed into a prime (121212100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82098 + ... + 499163.

It is an arithmetic number, because the mean of its divisors is an integer number (10880062116).

Almost surely, 2121212100113 is an apocalyptic number.

121212100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121212100113 is a deficient number, since it is larger than the sum of its proper divisors (52868893743).

121212100113 is a wasteful number, since it uses less digits than its factorization.

121212100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586624.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 121212100113 its reverse (311001212121), we get a palindrome (432213312234).

The spelling of 121212100113 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred thousand, one hundred thirteen".

Divisors: 1 3 13 39 5347 16041 69511 208533 581261 1743783 7556393 22669179 3108002567 9324007701 40404033371 121212100113