Search a number
-
+
135124983 = 337714947
BaseRepresentation
bin10000000110111…
…01011111110111
3100102021001122000
420003131133313
5234042444413
621224110343
73230354250
oct1003353767
9312231560
10135124983
116a302444
12393053b3
1321cc1416
1413d35b27
15bce2073
hex80dd7f7

135124983 has 16 divisors (see below), whose sum is σ = 228783360. Its totient is φ = 77214168.

The previous prime is 135124973. The next prime is 135125021. The reversal of 135124983 is 389421531.

It is not a de Polignac number, because 135124983 - 24 = 135124967 is a prime.

It is a super-2 number, since 2×1351249832 = 36517522061500578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135124973) 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, 357285 + ... + 357662.

It is an arithmetic number, because the mean of its divisors is an integer number (14298960).

Almost surely, 2135124983 is an apocalyptic number.

135124983 is a deficient number, since it is larger than the sum of its proper divisors (93658377).

135124983 is an equidigital number, since it uses as much as digits as its factorization.

135124983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714963 (or 714957 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 135124983 is about 11624.3272063376. The cubic root of 135124983 is about 513.1510447469.

The spelling of 135124983 in words is "one hundred thirty-five million, one hundred twenty-four thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 27 63 189 714947 2144841 5004629 6434523 15013887 19303569 45041661 135124983