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133122231 = 33115971107
BaseRepresentation
bin1111110111101…
…00100010110111
3100021111022101000
413323310202313
5233034402411
621113134343
73204343314
oct773644267
9307438330
10133122231
1169164780
12386ba3b3
132176c968
1413973d0b
15ba48956
hex7ef48b7

133122231 has 64 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 77464800.

The previous prime is 133122217. The next prime is 133122259. The reversal of 133122231 is 132221331.

It is not a de Polignac number, because 133122231 - 27 = 133122103 is a prime.

It is a super-2 number, since 2×1331222312 = 35443056772834722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1244080 + ... + 1244186.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 2133122231 is an apocalyptic number.

133122231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133122231 is a deficient number, since it is larger than the sum of its proper divisors (90826569).

133122231 is a wasteful number, since it uses less digits than its factorization.

133122231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

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

The square root of 133122231 is about 11537.8607635904. The cubic root of 133122231 is about 510.6031963302.

Adding to 133122231 its reverse (132221331), we get a palindrome (265343562).

The spelling of 133122231 in words is "one hundred thirty-three million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 59 71 99 107 177 213 297 321 531 639 649 781 963 1177 1593 1917 1947 2343 2889 3531 4189 5841 6313 7029 7597 10593 12567 17523 18939 21087 22791 31779 37701 46079 56817 68373 69443 83567 113103 138237 170451 205119 208329 250701 414711 448223 624987 752103 1244133 1344669 1874961 2256309 4034007 4930453 12102021 14791359 44374077 133122231