Search a number
-
+
12100011022121 = 115368053304979
BaseRepresentation
bin1011000000010100000011…
…0110111101011100101001
31120211202020120110102112212
42300011000312331130221
53041221310310201441
641422400205214505
72356124360455331
oct260050066753451
946752216412485
1012100011022121
113945649858aa0
121435091261435
1369a04558b199
142db9022ac0c1
1515eb380d5eeb
hexb0140dbd729

12100011022121 has 16 divisors (see below), whose sum is σ = 13449310580160. Its totient is φ = 10792268685120.

The previous prime is 12100011022109. The next prime is 12100011022123. The reversal of 12100011022121 is 12122011000121.

It is not a de Polignac number, because 12100011022121 - 210 = 12100011021097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100011022096 and 12100011022105.

It is not an unprimeable number, because it can be changed into a prime (12100011022123) 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, 39522410 + ... + 39827388.

It is an arithmetic number, because the mean of its divisors is an integer number (840581911260).

Almost surely, 212100011022121 is an apocalyptic number.

12100011022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100011022121 is a deficient number, since it is larger than the sum of its proper divisors (1349299558039).

12100011022121 is a wasteful number, since it uses less digits than its factorization.

12100011022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373096.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12100011022121 its reverse (12122011000121), we get a palindrome (24222022022242).

The spelling of 12100011022121 in words is "twelve trillion, one hundred billion, eleven million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 53 583 68053 304979 748583 3354769 3606809 16163887 39674899 177802757 20754735887 228302094757 1100001002011 12100011022121