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133105041132 = 223712311287233
BaseRepresentation
bin111101111110110101…
…1011011111011101100
3110201120022121200022020
41323331223123323230
54140044342304012
6141051514550140
712421316116260
oct1737553337354
9421508550266
10133105041132
11514a4364528
1221968738350
13c72327628b
146629a160a0
1536e0755a8c
hex1efdadbeec

133105041132 has 48 divisors (see below), whose sum is σ = 355235392512. Its totient is φ = 37999088640.

The previous prime is 133105041107. The next prime is 133105041137. The reversal of 133105041132 is 231140501331.

It is not an unprimeable number, because it can be changed into a prime (133105041137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540213 + ... + 747020.

It is an arithmetic number, because the mean of its divisors is an integer number (7400737344).

Almost surely, 2133105041132 is an apocalyptic number.

133105041132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133105041132 is an abundant number, since it is smaller than the sum of its proper divisors (222130351380).

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

133105041132 is a wasteful number, since it uses less digits than its factorization.

133105041132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288478 (or 1288476 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 133105041132 its reverse (231140501331), we get a palindrome (364245542463).

The spelling of 133105041132 in words is "one hundred thirty-three billion, one hundred five million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1231 2462 3693 4924 7386 8617 14772 17234 25851 34468 51702 103404 1287233 2574466 3861699 5148932 7723398 9010631 15446796 18021262 27031893 36042524 54063786 108127572 1584583823 3169167646 4753751469 6338335292 9507502938 11092086761 19015005876 22184173522 33276260283 44368347044 66552520566 133105041132