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133506333 = 334944679
BaseRepresentation
bin1111111010100…
…10010100011101
3100022012211021000
413331102110131
5233134200313
621125300513
73210533202
oct775222435
9308184230
10133506333
11693a7314
1238864739
132187573c
1413a33ca9
15bac2673
hex7f5251d

133506333 has 8 divisors (see below), whose sum is σ = 197787200. Its totient is φ = 89004204.

The previous prime is 133506301. The next prime is 133506371. The reversal of 133506333 is 333605331.

It is not a de Polignac number, because 133506333 - 25 = 133506301 is a prime.

It is a super-2 number, since 2×1335063332 = 35647881902213778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4944679 = 133506333 / (1 + 3 + 3 + 5 + 0 + 6 + 3 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133506297 and 133506306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133506433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2472313 + ... + 2472366.

It is an arithmetic number, because the mean of its divisors is an integer number (24723400).

Almost surely, 2133506333 is an apocalyptic number.

It is an amenable number.

133506333 is a deficient number, since it is larger than the sum of its proper divisors (64280867).

133506333 is an equidigital number, since it uses as much as digits as its factorization.

133506333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944688 (or 4944682 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

The square root of 133506333 is about 11554.4940607540. The cubic root of 133506333 is about 511.0938115635.

It can be divided in two parts, 13350 and 6333, that added together give a 9-th power (19683 = 39).

The spelling of 133506333 in words is "one hundred thirty-three million, five hundred six thousand, three hundred thirty-three".

Divisors: 1 3 9 27 4944679 14834037 44502111 133506333