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133211322 = 23237200017
BaseRepresentation
bin1111111000010…
…10010010111010
3100021122211120200
413330022102322
5233100230242
621115103030
73205164126
oct774122272
9307584520
10133211322
1169215702
1238741a76
13217a138a
1413998586
15ba6504c
hex7f0a4ba

133211322 has 24 divisors (see below), whose sum is σ = 296426676. Its totient is φ = 43203456.

The previous prime is 133211279. The next prime is 133211327. The reversal of 133211322 is 223112331.

133211322 is a `hidden beast` number, since 1 + 332 + 11 + 322 = 666.

133211322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 133194681 + 16641 = 11541^2 + 129^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133211295 and 133211304.

It is not an unprimeable number, because it can be changed into a prime (133211327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99343 + ... + 100674.

Almost surely, 2133211322 is an apocalyptic number.

133211322 is an abundant number, since it is smaller than the sum of its proper divisors (163215354).

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

133211322 is a wasteful number, since it uses less digits than its factorization.

133211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200062 (or 200059 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133211322 is about 11541.7209288736. The cubic root of 133211322 is about 510.7170766461.

Adding to 133211322 its reverse (223112331), we get a palindrome (356323653).

The spelling of 133211322 in words is "one hundred thirty-three million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 200017 400034 600051 1200102 1800153 3600306 7400629 14801258 22201887 44403774 66605661 133211322