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133003231220331 = 3415781231287541
BaseRepresentation
bin11110001111011100111010…
…010110011101001001101011
3122102220222120212101120020000
4132033130322112131021223
5114413111104143022311
61150512501345434043
740005111025656153
oct3617347226351153
9572828525346200
10133003231220331
113941939870062a
1212b00b0103b923
13592a1c6665184
1424bb568289763
151059abc806056
hex78f73a59d26b

133003231220331 has 40 divisors (see below), whose sum is σ = 199974111914544. Its totient is φ = 88093136589120.

The previous prime is 133003231220311. The next prime is 133003231220441. The reversal of 133003231220331 is 133022132300331.

133003231220331 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 323 + 1 + 2 + 2 + 0 + 331 = 666.

It is not a de Polignac number, because 133003231220331 - 222 = 133003227026027 is a prime.

It is a super-2 number, since 2×1330032312203312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133003231220295 and 133003231220304.

It is not an unprimeable number, because it can be changed into a prime (133003231220311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102656421 + ... + 103943961.

Almost surely, 2133003231220331 is an apocalyptic number.

133003231220331 is a deficient number, since it is larger than the sum of its proper divisors (66970880694213).

133003231220331 is a wasteful number, since it uses less digits than its factorization.

133003231220331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295833 (or 1295824 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133003231220331 its reverse (133022132300331), we get a palindrome (266025363520662).

The spelling of 133003231220331 in words is "one hundred thirty-three trillion, three billion, two hundred thirty-one million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 157 471 1413 4239 8123 12717 24369 73107 219321 657963 1275311 1287541 3825933 3862623 11477799 11587869 34433397 34763607 103300191 104290821 202143937 606431811 1819295433 5457886299 10458695543 16373658897 31376086629 94128259887 282384779661 847154338983 1642015200251 4926045600753 14778136802259 44334410406777 133003231220331