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133010108 = 2272111719191
BaseRepresentation
bin1111110110110…
…01001010111100
3100021021121120022
413323121022330
5233022310413
621110511312
73203365400
oct773311274
9307247508
10133010108
1169098510
1238665538
132173090a
1413945100
15ba25608
hex7ed92bc

133010108 has 144 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 45964800.

The previous prime is 133010107. The next prime is 133010123. The reversal of 133010108 is 801010331.

133010108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133010107) 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 47 ways as a sum of consecutive naturals, for example, 696293 + ... + 696483.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2133010108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133010108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

133010108 is an abundant number, since it is smaller than the sum of its proper divisors (197936452).

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

133010108 is a wasteful number, since it uses less digits than its factorization.

133010108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 133010108 is about 11533.0008237232. Note that the first 3 decimals coincide. The cubic root of 133010108 is about 510.4598031933.

Adding to 133010108 its reverse (801010331), we get a palindrome (934020439).

The spelling of 133010108 in words is "one hundred thirty-three million, ten thousand, one hundred eight".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 49 68 76 77 98 119 133 154 187 191 196 209 238 266 308 323 374 382 418 476 532 539 646 748 764 833 836 931 1078 1292 1309 1337 1463 1666 1862 2101 2156 2261 2618 2674 2926 3247 3332 3553 3629 3724 4202 4522 5236 5348 5852 6494 7106 7258 8404 9044 9163 9359 10241 12988 14212 14516 14707 15827 18326 18718 20482 22729 24871 25403 29414 31654 35717 36652 37436 39919 40964 45458 49742 50806 58828 61693 63308 71434 79838 90916 99484 101612 102949 123386 142868 159103 159676 174097 177821 205898 246772 250019 279433 318206 348194 355642 411796 431851 500038 558866 636412 678623 696388 711284 863702 1000076 1117732 1357246 1727404 1750133 1956031 2714492 3022957 3500266 3912062 4750361 6045914 7000532 7824124 9500722 12091828 19001444 33252527 66505054 133010108