Search a number
-
+
243131977 = 11173141941
BaseRepresentation
bin11100111110111…
…10011001001001
3121221111101101001
432133132121021
5444220210402
640043055001
76011405404
oct1637363111
9557441331
10243131977
11115272720
1269511461
133b4a959a
142440cd3b
1516529187
hexe7de649

243131977 has 16 divisors (see below), whose sum is σ = 289903104. Its totient is φ = 201312000.

The previous prime is 243131963. The next prime is 243131981. The reversal of 243131977 is 779131342.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 243131977 - 27 = 243131849 is a prime.

It is a super-2 number, since 2×2431319772 = 118226316479857058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (243101977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15174 + ... + 26767.

It is an arithmetic number, because the mean of its divisors is an integer number (18118944).

Almost surely, 2243131977 is an apocalyptic number.

It is an amenable number.

243131977 is a deficient number, since it is larger than the sum of its proper divisors (46771127).

243131977 is a wasteful number, since it uses less digits than its factorization.

243131977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42000.

The product of its digits is 31752, while the sum is 37.

The square root of 243131977 is about 15592.6898577507. The cubic root of 243131977 is about 624.1380989890.

The spelling of 243131977 in words is "two hundred forty-three million, one hundred thirty-one thousand, nine hundred seventy-seven".

Divisors: 1 11 17 31 187 341 527 5797 41941 461351 712997 1300171 7842967 14301881 22102907 243131977