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132211012224 = 273491701221
BaseRepresentation
bin111101100100001100…
…0111111001010000000
3110122021000100022012110
41323020120333022000
54131232004342344
6140423100455320
712360212030064
oct1731030771200
9418230308173
10132211012224
1151085740365
122175924a540
13c60cc906a5
146582db1aa4
15368c0083b9
hex1ec863f280

132211012224 has 64 divisors (see below), whose sum is σ = 351901248480. Its totient is φ = 43980518400.

The previous prime is 132211012211. The next prime is 132211012231. The reversal of 132211012224 is 422210112231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 132211012224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162067 + ... + 539154.

Almost surely, 2132211012224 is an apocalyptic number.

It is an amenable number.

132211012224 is an abundant number, since it is smaller than the sum of its proper divisors (219690236256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132211012224 is an equidigital number, since it uses as much as digits as its factorization.

132211012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701729 (or 701717 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 132211012224 its reverse (422210112231), we get a palindrome (554421124455).

The spelling of 132211012224 in words is "one hundred thirty-two billion, two hundred eleven million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 491 982 1473 1964 2946 3928 5892 7856 11784 15712 23568 31424 47136 62848 94272 188544 701221 1402442 2103663 2804884 4207326 5609768 8414652 11219536 16829304 22439072 33658608 44878144 67317216 89756288 134634432 269268864 344299511 688599022 1032898533 1377198044 2065797066 2754396088 4131594132 5508792176 8263188264 11017584352 16526376528 22035168704 33052753056 44070337408 66105506112 132211012224