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132333331221 = 32721323082737
BaseRepresentation
bin111101100111110101…
…1100110001100010101
3110122120112111202022200
41323033223212030111
54132004313044341
6140443150315113
712363225520200
oct1731753461425
9418515452280
10132333331221
1151138796443
12217921b8a99
13c62c419cb0
146595332937
153697b1adb6
hex1ecfae6315

132333331221 has 36 divisors (see below), whose sum is σ = 239460324012. Its totient is φ = 69802193664.

The previous prime is 132333331201. The next prime is 132333331241. The reversal of 132333331221 is 122133333231.

132333331221 is a `hidden beast` number, since 1 + 323 + 3 + 3 + 3 + 312 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (132333331201) and next prime (132333331241).

It can be written as a sum of positive squares in 2 ways, for example, as 49972367025 + 82360964196 = 223545^2 + 286986^2 .

It is not a de Polignac number, because 132333331221 - 29 = 132333330709 is a prime.

It is a super-2 number, since 2×1323333312212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132333331201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11535636 + ... + 11547101.

It is an arithmetic number, because the mean of its divisors is an integer number (6651675667).

Almost surely, 2132333331221 is an apocalyptic number.

It is an amenable number.

132333331221 is a deficient number, since it is larger than the sum of its proper divisors (107126992791).

132333331221 is a wasteful number, since it uses less digits than its factorization.

132333331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23082770 (or 23082760 counting only the distinct ones).

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

Adding to 132333331221 its reverse (122133333231), we get a palindrome (254466664452).

The spelling of 132333331221 in words is "one hundred thirty-two billion, three hundred thirty-three million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 23082737 69248211 161579159 207744633 300075581 484737477 900226743 1131054113 1454212431 2100529067 2700680229 3393162339 6301587201 10179487017 14703703469 18904761603 44111110407 132333331221