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133130440341 = 32171038447899
BaseRepresentation
bin111101111111100110…
…0010100111010010101
3110201122002102002110200
41323333030110322111
54140122343042331
6141054223211113
712422045033403
oct1737714247225
9421562362420
10133130440341
1151507732308
1221975146a99
13c7285ca0b2
14662d148473
1536e2ac15e6
hex1eff314e95

133130440341 has 24 divisors (see below), whose sum is σ = 205588094400. Its totient is φ = 82721817216.

The previous prime is 133130440277. The next prime is 133130440349. The reversal of 133130440341 is 143044031331.

133130440341 is a `hidden beast` number, since 1 + 3 + 313 + 0 + 4 + 4 + 0 + 341 = 666.

It is not a de Polignac number, because 133130440341 - 26 = 133130440277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130440349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4208191 + ... + 4239708.

It is an arithmetic number, because the mean of its divisors is an integer number (8566170600).

Almost surely, 2133130440341 is an apocalyptic number.

It is an amenable number.

133130440341 is a deficient number, since it is larger than the sum of its proper divisors (72457654059).

133130440341 is a wasteful number, since it uses less digits than its factorization.

133130440341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448025 (or 8448022 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133130440341 its reverse (143044031331), we get a palindrome (276174471672).

The spelling of 133130440341 in words is "one hundred thirty-three billion, one hundred thirty million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 17 51 103 153 309 927 1751 5253 15759 8447899 25343697 76031091 143614283 430842849 870133597 1292528547 2610400791 7831202373 14792271149 44376813447 133130440341