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11032131122001 = 331141598931287
BaseRepresentation
bin1010000010001001111001…
…0000011011001101010001
31110001122212012000210111000
42200202132100123031101
52421222301031401001
635244031401012213
72216021331210003
oct240423620331521
943048765023430
1011032131122001
1135737784584a0
1212a2126484069
13620430182892
142a1d5aa4c373
15141e87446a86
hexa089e41b351

11032131122001 has 32 divisors (see below), whose sum is σ = 17833995878400. Its totient is φ = 6684531693840.

The previous prime is 11032131121931. The next prime is 11032131122081. The reversal of 11032131122001 is 10022113123011.

11032131122001 is a `hidden beast` number, since 1 + 10 + 321 + 311 + 2 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 11032131122001 - 218 = 11032130859857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11032131122081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3230421 + ... + 5700866.

It is an arithmetic number, because the mean of its divisors is an integer number (557312371200).

Almost surely, 211032131122001 is an apocalyptic number.

11032131122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11032131122001 is a deficient number, since it is larger than the sum of its proper divisors (6801864756399).

11032131122001 is a wasteful number, since it uses less digits than its factorization.

11032131122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935466 (or 8935460 counting only the distinct ones).

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

Adding to 11032131122001 its reverse (10022113123011), we get a palindrome (21054244245012).

The spelling of 11032131122001 in words is "eleven trillion, thirty-two billion, one hundred thirty-one million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 11 27 33 99 297 4159 12477 37431 45749 112293 137247 411741 1235223 8931287 26793861 80381583 98244157 241144749 294732471 884197413 2652592239 37145222633 111435667899 334307003697 408597448963 1002921011091 1225792346889 3677377040667 11032131122001