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131533141433325 = 35217831242930701
BaseRepresentation
bin11101111010000011110010…
…001010111101101111101101
3122020201110000210002200020220
4131322003302022331233231
5114220014333201331300
61143425254015401553
736463645601651562
oct3572036212755755
9566643023080226
10131533141433325
1138a0198a305a35
1212904006b232b9
1358516a2b37968
14246a349174869
15103172b24bda0
hex77a0f22bdbed

131533141433325 has 48 divisors (see below), whose sum is σ = 233034591456576. Its totient is φ = 65229003136000.

The previous prime is 131533141433311. The next prime is 131533141433339. The reversal of 131533141433325 is 523334141335131.

It is an interprime number because it is at equal distance from previous prime (131533141433311) and next prime (131533141433339).

It is not a de Polignac number, because 131533141433325 - 211 = 131533141431277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621359526 + ... + 621571175.

It is an arithmetic number, because the mean of its divisors is an integer number (4854887322012).

Almost surely, 2131533141433325 is an apocalyptic number.

131533141433325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131533141433325 is a deficient number, since it is larger than the sum of its proper divisors (101501450023251).

131533141433325 is a wasteful number, since it uses less digits than its factorization.

131533141433325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242930814 (or 1242930809 counting only the distinct ones).

The product of its digits is 583200, while the sum is 42.

Adding to 131533141433325 its reverse (523334141335131), we get a palindrome (654867282768456).

The spelling of 131533141433325 in words is "one hundred thirty-one trillion, five hundred thirty-three billion, one hundred forty-one million, four hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 83 85 249 255 415 425 1245 1275 1411 2075 4233 6225 7055 21165 35275 105825 1242930701 3728792103 6214653505 18643960515 21129821917 31073267525 63389465751 93219802575 103163248183 105649109585 309489744549 316947328755 515816240915 528245547925 1547448722745 1584736643775 1753775219111 2579081204575 5261325657333 7737243613725 8768876095555 26306628286665 43844380477775 131533141433325