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135311177 = 1720533877
BaseRepresentation
bin10000001000010…
…10111101001001
3100102121112001002
420010022331021
5234114424202
621232104345
73232061141
oct1004127511
9312545032
10135311177
116a41a321
12393950b5
13220580b1
1413d83921
15bd2c302
hex810af49

135311177 has 8 divisors (see below), whose sum is σ = 143377416. Its totient is φ = 127256832.

The previous prime is 135311159. The next prime is 135311191. The reversal of 135311177 is 771113531.

It can be written as a sum of positive squares in 4 ways, for example, as 22505536 + 112805641 = 4744^2 + 10621^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-135311177 is a prime.

It is a super-2 number, since 2×1353111772 = 36618229242250658, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135311107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32963 + ... + 36839.

It is an arithmetic number, because the mean of its divisors is an integer number (17922177).

Almost surely, 2135311177 is an apocalyptic number.

135311177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135311177 is a deficient number, since it is larger than the sum of its proper divisors (8066239).

135311177 is a wasteful number, since it uses less digits than its factorization.

135311177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947.

The product of its digits is 2205, while the sum is 29.

The square root of 135311177 is about 11632.3332569180. Note that the first 3 decimals coincide. The cubic root of 135311177 is about 513.3866335372.

The spelling of 135311177 in words is "one hundred thirty-five million, three hundred eleven thousand, one hundred seventy-seven".

Divisors: 1 17 2053 3877 34901 65909 7959481 135311177