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135311332 = 221329531693
BaseRepresentation
bin10000001000010…
…10111111100100
3100102121112020211
420010022333210
5234114430312
621232105204
73232061452
oct1004127744
9312545224
10135311332
116a41a452
1239395204
13220581a0
1413d839d2
15bd2c3a7
hex810afe4

135311332 has 48 divisors (see below), whose sum is σ = 268939440. Its totient is φ = 59125248.

The previous prime is 135311317. The next prime is 135311377. The reversal of 135311332 is 233113531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2232036 + 133079296 = 1494^2 + 11536^2 .

It is a super-2 number, since 2×1353113322 = 36618313135228448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79078 + ... + 80770.

It is an arithmetic number, because the mean of its divisors is an integer number (5602905).

Almost surely, 2135311332 is an apocalyptic number.

It is an amenable number.

135311332 is a deficient number, since it is larger than the sum of its proper divisors (133628108).

135311332 is a wasteful number, since it uses less digits than its factorization.

135311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).

The product of its digits is 810, while the sum is 22.

The square root of 135311332 is about 11632.3399193799. The cubic root of 135311332 is about 513.3868295665.

Adding to 135311332 its reverse (233113531), we get a palindrome (368424863).

The spelling of 135311332 in words is "one hundred thirty-five million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 29 52 53 58 106 116 212 377 689 754 1378 1508 1537 1693 2756 3074 3386 6148 6772 19981 22009 39962 44018 49097 79924 88036 89729 98194 179458 196388 358916 638261 1166477 1276522 2332954 2553044 2602141 4665908 5204282 10408564 33827833 67655666 135311332