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214146121 = 7229374073
BaseRepresentation
bin11001100001110…
…01110001001001
3112220221202020211
430300321301021
5414310133441
633125521121
75210132500
oct1460716111
9486852224
10214146121
11aa975172
125b8731a1
133549b0a7
1420625837
1513c00a81
hexcc39c49

214146121 has 24 divisors (see below), whose sum is σ = 264728520. Its totient is φ = 172392192.

The previous prime is 214146091. The next prime is 214146133. The reversal of 214146121 is 121641412.

It can be written as a sum of positive squares in 4 ways, for example, as 33512521 + 180633600 = 5789^2 + 13440^2 .

It is a de Polignac number, because none of the positive numbers 2k-214146121 is a prime.

It is a super-2 number, since 2×2141461212 = 91717122278693282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214146092 and 214146101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214146421) 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 23 ways as a sum of consecutive naturals, for example, 50541 + ... + 54613.

It is an arithmetic number, because the mean of its divisors is an integer number (11030355).

Almost surely, 2214146121 is an apocalyptic number.

It is an amenable number.

214146121 is a deficient number, since it is larger than the sum of its proper divisors (50582399).

214146121 is a wasteful number, since it uses less digits than its factorization.

214146121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4146 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 214146121 is about 14633.7322990411. The cubic root of 214146121 is about 598.2785108862.

Adding to 214146121 its reverse (121641412), we get a palindrome (335787533).

The spelling of 214146121 in words is "two hundred fourteen million, one hundred forty-six thousand, one hundred twenty-one".

Divisors: 1 7 29 37 49 203 259 1073 1421 1813 4073 7511 28511 52577 118117 150701 199577 826819 1054907 4370329 5787733 7384349 30592303 214146121