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135220311 = 3237406067
BaseRepresentation
bin10000000111101…
…00110001010111
3100102102220101200
420003310301113
5234104022221
621230123543
73231232212
oct1003646127
9312386350
10135220311
116a368026
12393505b3
1322025925
1413d5c779
15bd10426
hex80f4c57

135220311 has 12 divisors (see below), whose sum is σ = 200597592. Its totient is φ = 87710256.

The previous prime is 135220303. The next prime is 135220313. The reversal of 135220311 is 113022531.

135220311 is a `hidden beast` number, since 1 + 352 + 2 + 0 + 311 = 666.

It is not a de Polignac number, because 135220311 - 23 = 135220303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135220313) 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 11 ways as a sum of consecutive naturals, for example, 202701 + ... + 203366.

It is an arithmetic number, because the mean of its divisors is an integer number (16716466).

Almost surely, 2135220311 is an apocalyptic number.

135220311 is a deficient number, since it is larger than the sum of its proper divisors (65377281).

135220311 is a wasteful number, since it uses less digits than its factorization.

135220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406110 (or 406107 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135220311 is about 11628.4268497506. The cubic root of 135220311 is about 513.2716890145.

Adding to 135220311 its reverse (113022531), we get a palindrome (248242842).

It can be divided in two parts, 135220 and 311, that added together give a palindrome (135531).

The spelling of 135220311 in words is "one hundred thirty-five million, two hundred twenty thousand, three hundred eleven".

Divisors: 1 3 9 37 111 333 406067 1218201 3654603 15024479 45073437 135220311