Search a number
-
+
135101344 = 257603131
BaseRepresentation
bin10000000110101…
…11101110100000
3100102012212012111
420003113232200
5234041220334
621223405104
73230225320
oct1003275640
9312185174
10135101344
116a296704
12392b3794
1321cb3731
1413d2b280
15bcda064
hex80d7ba0

135101344 has 24 divisors (see below), whose sum is σ = 303978528. Its totient is φ = 57900480.

The previous prime is 135101321. The next prime is 135101347. The reversal of 135101344 is 443101531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135101347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301342 + ... + 301789.

It is an arithmetic number, because the mean of its divisors is an integer number (12665772).

Almost surely, 2135101344 is an apocalyptic number.

135101344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135101344 is an abundant number, since it is smaller than the sum of its proper divisors (168877184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135101344 is an equidigital number, since it uses as much as digits as its factorization.

135101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603148 (or 603140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 135101344 is about 11623.3103718347. The cubic root of 135101344 is about 513.1211191558.

Adding to 135101344 its reverse (443101531), we get a palindrome (578202875).

The spelling of 135101344 in words is "one hundred thirty-five million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 603131 1206262 2412524 4221917 4825048 8443834 9650096 16887668 19300192 33775336 67550672 135101344