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133132212 = 22323698117
BaseRepresentation
bin1111110111101…
…10111110110100
3100021111211001200
413323312332310
5233040212322
621113252500
73204414363
oct773667664
9307454050
10133132212
1169171224
1238704130
1321774375
14139777da
15ba4b8ac
hex7ef6fb4

133132212 has 18 divisors (see below), whose sum is σ = 336528738. Its totient is φ = 44377392.

The previous prime is 133132201. The next prime is 133132213. The reversal of 133132212 is 212231331.

133132212 is a `hidden beast` number, since 1 + 331 + 322 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101727396 + 31404816 = 10086^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (133132213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1849023 + ... + 1849094.

It is an arithmetic number, because the mean of its divisors is an integer number (18696041).

Almost surely, 2133132212 is an apocalyptic number.

133132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133132212 is an abundant number, since it is smaller than the sum of its proper divisors (203396526).

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

133132212 is a wasteful number, since it uses less digits than its factorization.

133132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698127 (or 3698122 counting only the distinct ones).

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

The square root of 133132212 is about 11538.2932880041. The cubic root of 133132212 is about 510.6159570416.

Adding to 133132212 its reverse (212231331), we get a palindrome (345363543).

The spelling of 133132212 in words is "one hundred thirty-three million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3698117 7396234 11094351 14792468 22188702 33283053 44377404 66566106 133132212