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133121436 = 22372226397
BaseRepresentation
bin1111110111101…
…00010110011100
3100021111021021120
413323310112130
5233034341221
621113130540
73204341100
oct773642634
9307437246
10133121436
1169164118
12386b9a50
132176c4a6
1413973900
15ba485c6
hex7ef459c

133121436 has 36 divisors (see below), whose sum is σ = 361331208. Its totient is φ = 38034528.

The previous prime is 133121431. The next prime is 133121453. The reversal of 133121436 is 634121331.

It is a happy number.

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 (133121431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112611 + ... + 113786.

It is an arithmetic number, because the mean of its divisors is an integer number (10036978).

Almost surely, 2133121436 is an apocalyptic number.

It is an amenable number.

133121436 is an abundant number, since it is smaller than the sum of its proper divisors (228209772).

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

133121436 is a wasteful number, since it uses less digits than its factorization.

133121436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226418 (or 226409 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 133121436 is about 11537.8263117452. The cubic root of 133121436 is about 510.6021798950.

Adding to 133121436 its reverse (634121331), we get a palindrome (767242767).

The spelling of 133121436 in words is "one hundred thirty-three million, one hundred twenty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 226397 452794 679191 905588 1358382 1584779 2716764 3169558 4754337 6339116 9508674 11093453 19017348 22186906 33280359 44373812 66560718 133121436