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1032321332133 = 327134093081823
BaseRepresentation
bin11110000010110110010…
…01010111001110100101
310122200121020201012220100
433001123021113032211
5113403143230112013
62110124124454313
7134403612354030
oct17013311271645
93580536635810
101032321332133
11368894530133
121480a23aa399
1376469564640
1437d70cb4017
151bcbe077473
hexf05b2573a5

1032321332133 has 48 divisors (see below), whose sum is σ = 1839725655040. Its totient is φ = 543189618432.

The previous prime is 1032321332101. The next prime is 1032321332137. The reversal of 1032321332133 is 3312331232301.

1032321332133 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 321 + 332 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 1032321332133 - 25 = 1032321332101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032321332097 and 1032321332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032321332137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205941 + ... + 1875882.

Almost surely, 21032321332133 is an apocalyptic number.

1032321332133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032321332133 is a deficient number, since it is larger than the sum of its proper divisors (807404322907).

1032321332133 is a wasteful number, since it uses less digits than its factorization.

1032321332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082258 (or 3082255 counting only the distinct ones).

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

Adding to 1032321332133 its reverse (3312331232301), we get a palindrome (4344652564434).

The spelling of 1032321332133 in words is "one trillion, thirty-two billion, three hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 409 819 1227 2863 3681 5317 8589 15951 25767 37219 47853 111657 334971 3081823 9245469 21572761 27736407 40063699 64718283 120191097 194154849 280445893 360573291 841337679 1260465607 2524013037 3781396821 8823259249 11344190463 16386052891 26469777747 49158158673 79409333241 114702370237 147474476019 344107110711 1032321332133