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11331212201001 = 3371110914995709
BaseRepresentation
bin1010010011100100000011…
…1000001100110000101001
31111010020211122211210121000
42210321000320030300221
52441122310310413001
640033253110305213
72246440000350360
oct244710070146051
944106748753530
1011331212201001
1136795a3979850
121330094058209
136426b47c1844
142b260db0a7d7
15149b3e0dca86
hexa4e40e0cc29

11331212201001 has 64 divisors (see below), whose sum is σ = 20948410828800. Its totient is φ = 5880947457600.

The previous prime is 11331212200993. The next prime is 11331212201021. The reversal of 11331212201001 is 10010221213311.

11331212201001 is a `hidden beast` number, since 1 + 1 + 331 + 212 + 20 + 100 + 1 = 666.

It is not a de Polignac number, because 11331212201001 - 23 = 11331212200993 is a prime.

It is a super-2 number, since 2×113312122010012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331212201021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 229666 + ... + 4766043.

It is an arithmetic number, because the mean of its divisors is an integer number (327318919200).

Almost surely, 211331212201001 is an apocalyptic number.

11331212201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331212201001 is a deficient number, since it is larger than the sum of its proper divisors (9617198627799).

11331212201001 is a wasteful number, since it uses less digits than its factorization.

11331212201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996827 (or 4996821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11331212201001 its reverse (10010221213311), we get a palindrome (21341433414312).

The spelling of 11331212201001 in words is "eleven trillion, three hundred thirty-one billion, two hundred twelve million, two hundred one thousand, one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 1091 2079 3273 7637 9819 12001 22911 29457 36003 68733 84007 108009 206199 252021 324027 756063 2268189 4995709 14987127 34969963 44961381 54952799 104909889 134884143 164858397 314729667 384669593 494575191 944189001 1154008779 1483725573 3462026337 5450318519 10386079011 16350955557 38152229633 49052866671 59953503709 114456688899 147158600013 179860511127 343370066697 419674525963 539581533381 1030110200091 1259023577889 1618744600143 3777070733667 11331212201001