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142214121 = 3272389829
BaseRepresentation
bin10000111101000…
…00001111101001
3100220121020002200
420132200033221
5242401322441
622040050413
73344541300
oct1036401751
9326536080
10142214121
1173304635
123b763a09
132360408a
1414c5d437
15c7427b6
hex87a03e9

142214121 has 36 divisors (see below), whose sum is σ = 239861700. Its totient is φ = 80958528.

The previous prime is 142214101. The next prime is 142214167. The reversal of 142214121 is 121412241.

It can be written as a sum of positive squares in 2 ways, for example, as 56836521 + 85377600 = 7539^2 + 9240^2 .

It is not a de Polignac number, because 142214121 - 25 = 142214089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142214094 and 142214103.

It is not an unprimeable number, because it can be changed into a prime (142214101) 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 35 ways as a sum of consecutive naturals, for example, 171135 + ... + 171963.

It is an arithmetic number, because the mean of its divisors is an integer number (6662825).

Almost surely, 2142214121 is an apocalyptic number.

It is an amenable number.

142214121 is a deficient number, since it is larger than the sum of its proper divisors (97647579).

142214121 is a wasteful number, since it uses less digits than its factorization.

142214121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1228 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 142214121 is about 11925.3562210946. The cubic root of 142214121 is about 521.9724409637.

Adding to 142214121 its reverse (121412241), we get a palindrome (263626362).

The spelling of 142214121 in words is "one hundred forty-two million, two hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 389 441 829 1167 2487 2723 3501 5803 7461 8169 17409 19061 24507 40621 52227 57183 121863 171549 322481 365589 967443 2257367 2902329 6772101 15801569 20316303 47404707 142214121