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443322234101012 = 227471038533834223
BaseRepresentation
bin110010011001100110000000…
…0010010001101110100010100
32011010200012011201202210100012
41210303030000102031310110
5431101342413412213022
64210511231153535352
7162243655143640550
oct14463140022156424
92133605151683305
10443322234101012
1111928a9a3843932
124187a99b274558
131604a15195caa6
147b68ca6a3a860
15363bc66bbede2
hex193330048dd14

443322234101012 has 96 divisors (see below), whose sum is σ = 915372699451392. Its totient is φ = 183931494235776.

The previous prime is 443322234100997. The next prime is 443322234101017. The reversal of 443322234101012 is 210101432223344.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 443322234101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443322234101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113705333 + ... + 117539555.

It is an arithmetic number, because the mean of its divisors is an integer number (9535132285952).

Almost surely, 2443322234101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443322234101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457686349725696).

443322234101012 is an abundant number, since it is smaller than the sum of its proper divisors (472050465350380).

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

443322234101012 is a wasteful number, since it uses less digits than its factorization.

443322234101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835237 (or 3835235 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 443322234101012 its reverse (210101432223344), we get a palindrome (653423666324356).

The spelling of 443322234101012 in words is "four hundred forty-three trillion, three hundred twenty-two billion, two hundred thirty-four million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 14 28 47 94 103 188 206 329 412 658 721 853 1316 1442 1706 2884 3412 4841 5971 9682 11942 19364 23884 33887 40091 67774 80182 87859 135548 160364 175718 280637 351436 561274 615013 1122548 1230026 2460052 3834223 4129373 7668446 8258746 15336892 16517492 26839561 28905611 53679122 57811222 107358244 115622444 180208481 360416962 394924969 720833924 789849938 1261459367 1579699876 2522918734 2764474783 3270592219 5045837468 5528949566 6541184438 11057899132 13082368876 18561473543 22894145533 37122947086 45788291066 74245894172 91576582132 129930314801 153717834293 259860629602 307435668586 336870998557 519721259204 614871337172 673741997114 1076024840051 1347483994228 2152049680102 2358096989899 4304099360204 4716193979798 9432387959596 15832936932179 31665873864358 63331747728716 110830558525253 221661117050506 443322234101012