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131222133 = 3371740841
BaseRepresentation
bin1111101001001…
…00101001110101
3100010220202221000
413310210221311
5232043102013
621004313513
73152240550
oct764445165
9303822830
10131222133
1168087149
1237b42899
1321255b43
14135db697
15b7c0973
hex7d24a75

131222133 has 32 divisors (see below), whose sum is σ = 235249920. Its totient is φ = 70571520.

The previous prime is 131222131. The next prime is 131222141. The reversal of 131222133 is 331222131.

It is not a de Polignac number, because 131222133 - 21 = 131222131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131222131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17208 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (7351560).

Almost surely, 2131222133 is an apocalyptic number.

It is an amenable number.

131222133 is a deficient number, since it is larger than the sum of its proper divisors (104027787).

131222133 is a wasteful number, since it uses less digits than its factorization.

131222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40874 (or 40868 counting only the distinct ones).

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

The square root of 131222133 is about 11455.2229572366. Note that the first 3 decimals coincide. The cubic root of 131222133 is about 508.1622089826.

Adding to 131222133 its reverse (331222131), we get a palindrome (462444264).

The spelling of 131222133 in words is "one hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 40841 122523 285887 367569 694297 857661 1102707 2082891 2572983 4860079 6248673 7718949 14580237 18746019 43740711 131222133