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11330120203121 = 611217826918457
BaseRepresentation
bin1010010011011111111111…
…0010100011101101110001
31111010011000120001120010002
42210313333302203231301
52441113041232444441
640032552501115345
72246400640463156
oct244677762435561
944104016046102
1011330120203121
11367909352a665
12132ba2a3b8b55
1364256c4b3255
142b2548a9222d
15149ac82d7b9b
hexa4dffca3b71

11330120203121 has 16 divisors (see below), whose sum is σ = 11527340692560. Its totient is φ = 11133273415680.

The previous prime is 11330120203049. The next prime is 11330120203201. The reversal of 11330120203121 is 12130202103311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1645194721 + 11328475008400 = 40561^2 + 3365780^2 .

It is a cyclic number.

It is not a de Polignac number, because 11330120203121 - 210 = 11330120202097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11330120203093 and 11330120203102.

It is not an unprimeable number, because it can be changed into a prime (11330120203421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613856525 + ... + 613874981.

It is an arithmetic number, because the mean of its divisors is an integer number (720458793285).

Almost surely, 211330120203121 is an apocalyptic number.

It is an amenable number.

11330120203121 is a deficient number, since it is larger than the sum of its proper divisors (197220489439).

11330120203121 is a wasteful number, since it uses less digits than its factorization.

11330120203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28004.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11330120203121 its reverse (12130202103311), we get a palindrome (23460322306432).

The spelling of 11330120203121 in words is "eleven trillion, three hundred thirty billion, one hundred twenty million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 61 1217 8269 18457 74237 504409 1125877 10063373 22462169 152620933 613865753 1370192309 9309876913 185739675461 11330120203121