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133502112 = 2532463549
BaseRepresentation
bin1111111010100…
…01010010100000
3100022012121110200
413331101102200
5233134031422
621125225200
73210514662
oct775212240
9308177420
10133502112
11693a4127
1238862200
1321873843
1413a32532
15bac12ac
hex7f514a0

133502112 has 36 divisors (see below), whose sum is σ = 379647450. Its totient is φ = 44500608.

The previous prime is 133502107. The next prime is 133502147. The reversal of 133502112 is 211205331.

It can be written as a sum of positive squares in only one way, i.e., 107246736 + 26255376 = 10356^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 231487 + ... + 232062.

Almost surely, 2133502112 is an apocalyptic number.

133502112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133502112 is an abundant number, since it is smaller than the sum of its proper divisors (246145338).

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

133502112 is a wasteful number, since it uses less digits than its factorization.

133502112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463565 (or 463554 counting only the distinct ones).

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

The square root of 133502112 is about 11554.3114031084. The cubic root of 133502112 is about 511.0884251781.

Adding to 133502112 its reverse (211205331), we get a palindrome (344707443).

The spelling of 133502112 in words is "one hundred thirty-three million, five hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 463549 927098 1390647 1854196 2781294 3708392 4171941 5562588 7416784 8343882 11125176 14833568 16687764 22250352 33375528 44500704 66751056 133502112