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63106121 = 1323131193
BaseRepresentation
bin1111000010111…
…0110001001001
311101202010022202
43300232301021
5112123343441
610132325545
71364251601
oct360566111
9141663282
1063106121
1132692621
12191738b5
13100c6a00
148549c01
15581819b
hex3c2ec49

63106121 has 12 divisors (see below), whose sum is σ = 68609628. Its totient is φ = 58017024.

The previous prime is 63106103. The next prime is 63106129. The reversal of 63106121 is 12160136.

63106121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 28472896 + 34633225 = 5336^2 + 5885^2 .

It is a de Polignac number, because none of the positive numbers 2k-63106121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63106093 and 63106102.

It is not an unprimeable number, because it can be changed into a prime (63106129) 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 11 ways as a sum of consecutive naturals, for example, 52301 + ... + 53493.

It is an arithmetic number, because the mean of its divisors is an integer number (5717469).

Almost surely, 263106121 is an apocalyptic number.

It is an amenable number.

63106121 is a deficient number, since it is larger than the sum of its proper divisors (5503507).

63106121 is a wasteful number, since it uses less digits than its factorization.

63106121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 63106121 is about 7943.9361150503. The cubic root of 63106121 is about 398.1290142591.

Adding to 63106121 its reverse (12160136), we get a palindrome (75266257).

The spelling of 63106121 in words is "sixty-three million, one hundred six thousand, one hundred twenty-one".

Divisors: 1 13 169 313 1193 4069 15509 52897 201617 373409 4854317 63106121