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11332001010222 = 232412568965831
BaseRepresentation
bin1010010011100110111111…
…1001010001001000101110
31111010022212122010110102100
42210321233321101020232
52441130414224311342
640033503245235530
72246465356204614
oct244715771211056
944108778113370
1011332001010222
1136799691668a2
121330274262ba6
136427ac056b69
142b26867a16b4
15149b884a3e4c
hexa4e6fe5122e

11332001010222 has 72 divisors (see below), whose sum is σ = 25170926423760. Its totient is φ = 3684499833600.

The previous prime is 11332001010221. The next prime is 11332001010227. The reversal of 11332001010222 is 22201010023311.

11332001010222 is a `hidden beast` number, since 11 + 332 + 0 + 0 + 101 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11332001010195 and 11332001010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332001010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172104847 + ... + 172170677.

It is an arithmetic number, because the mean of its divisors is an integer number (349596200330).

Almost surely, 211332001010222 is an apocalyptic number.

11332001010222 is an abundant number, since it is smaller than the sum of its proper divisors (13838925413538).

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

11332001010222 is a wasteful number, since it uses less digits than its factorization.

11332001010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71610 (or 71566 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11332001010222 its reverse (22201010023311), we get a palindrome (33533011033533).

The spelling of 11332001010222 in words is "eleven trillion, three hundred thirty-two billion, one million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1681 3362 5043 5689 10086 11378 15129 17067 30258 34134 51201 65831 102402 131662 197493 233249 394986 466498 592479 699747 1184958 1399494 2099241 2699071 4198482 5398142 8097213 9563209 16194426 19126418 24291639 28689627 48583278 57379254 86068881 110661911 172137762 221323822 331985733 374512559 663971466 749025118 995957199 1123537677 1991914398 2247075354 3370613031 6741226062 15355014919 30710029838 46065044757 92130089514 138195134271 276390268542 629555611679 1259111223358 1888666835037 3777333670074 5666000505111 11332001010222