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132330233133 = 3272119954881
BaseRepresentation
bin111101100111101111…
…1110001110100101101
3110122120022200100112200
41323033133301310231
54132003014430013
6140443000052113
712363160264650
oct1731737616455
9418508610480
10132330233133
1151136a6a83a
1221791164039
13c62b8a3ac7
146594b67897
153697707e73
hex1ecf7f1d2d

132330233133 has 24 divisors (see below), whose sum is σ = 219485238336. Its totient is φ = 75258892800.

The previous prime is 132330233111. The next prime is 132330233201. The reversal of 132330233133 is 331332033231.

132330233133 is a `hidden beast` number, since 1 + 3 + 23 + 302 + 331 + 3 + 3 = 666.

It is not a de Polignac number, because 132330233133 - 232 = 128035265837 is a prime.

It is a super-2 number, since 2×1323302331332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132330233097 and 132330233106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330233333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4964148 + ... + 4990733.

It is an arithmetic number, because the mean of its divisors is an integer number (9145218264).

Almost surely, 2132330233133 is an apocalyptic number.

It is an amenable number.

132330233133 is a deficient number, since it is larger than the sum of its proper divisors (87155005203).

132330233133 is a wasteful number, since it uses less digits than its factorization.

132330233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955105 (or 9955102 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 132330233133 its reverse (331332033231), we get a palindrome (463662266364).

The spelling of 132330233133 in words is "one hundred thirty-two billion, three hundred thirty million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 211 633 1477 1899 4431 13293 9954881 29864643 69684167 89593929 209052501 627157503 2100479891 6301439673 14703359237 18904319019 44110077711 132330233133