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133101330021 = 3211193119311827
BaseRepresentation
bin111101111110101110…
…1010001111001100101
3110201120001122010121200
41323331131101321211
54140042420030041
6141051303233113
712421242431562
oct1737535217145
9421501563550
10133101330021
11514a225a2a0
1221967448799
13c72257705a
14662932b869
1536e02711b6
hex1efd751e65

133101330021 has 96 divisors (see below), whose sum is σ = 229096058880. Its totient is φ = 73567180800.

The previous prime is 133101330013. The next prime is 133101330029. The reversal of 133101330021 is 120033101331.

It is a happy number.

133101330021 is a `hidden beast` number, since 1 + 3 + 310 + 1 + 330 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (133101330013) and next prime (133101330029).

It is not a de Polignac number, because 133101330021 - 23 = 133101330013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133101329976 and 133101330003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133101330029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11248110 + ... + 11259936.

It is an arithmetic number, because the mean of its divisors is an integer number (2386417280).

Almost surely, 2133101330021 is an apocalyptic number.

133101330021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133101330021 is a deficient number, since it is larger than the sum of its proper divisors (95994728859).

133101330021 is a wasteful number, since it uses less digits than its factorization.

133101330021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12087 (or 12084 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133101330021 its reverse (120033101331), we get a palindrome (253134431352).

The spelling of 133101330021 in words is "one hundred thirty-three billion, one hundred one million, three hundred thirty thousand, twenty-one".

Divisors: 1 3 9 11 19 31 33 57 93 99 171 193 209 279 341 579 589 627 1023 1737 1767 1881 2123 3069 3667 5301 5983 6369 6479 11001 11827 17949 19107 19437 33003 35481 40337 53847 58311 65813 106443 113677 121011 130097 197439 224713 341031 363033 366637 390291 592317 674139 1023093 1099911 1170873 1250447 2022417 2282611 2471843 3299733 3751341 4033007 6847833 6966103 7415529 11254023 12099021 20543499 20898309 22246587 25108721 36297063 43369609 62694927 70760941 75326163 76627133 130108827 212282823 225978489 229881399 390326481 477065699 636848469 689644197 778370351 1344457879 1431197097 2335111053 4033373637 4293591291 7005333159 12100120911 14789036669 44367110007 133101330021