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11132131233201 = 3111392519668873
BaseRepresentation
bin1010000111111110011010…
…1110100100110110110001
31110102012222100212210021020
42201333212232210312301
52424342101043430301
635402010330250053
72226161406140466
oct241774656446661
943365870783236
1011132131233201
11360212395a0a0
1212b9594286929
136299a8a00b04
142a6b25adb66d
1514488b6a4436
hexa1fe6ba4db1

11132131233201 has 32 divisors (see below), whose sum is σ = 16373657986560. Its totient is φ = 6671521680000.

The previous prime is 11132131233199. The next prime is 11132131233217. The reversal of 11132131233201 is 10233213123111.

It is not a de Polignac number, because 11132131233201 - 21 = 11132131233199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11132131234201) 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, 3683100 + ... + 5985773.

It is an arithmetic number, because the mean of its divisors is an integer number (511676812080).

Almost surely, 211132131233201 is an apocalyptic number.

11132131233201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11132131233201 is a deficient number, since it is larger than the sum of its proper divisors (5241526753359).

11132131233201 is a wasteful number, since it uses less digits than its factorization.

11132131233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9669277.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11132131233201 its reverse (10233213123111), we get a palindrome (21365344356312).

The spelling of 11132131233201 in words is "eleven trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 11 33 139 251 417 753 1529 2761 4587 8283 34889 104667 383779 1151337 9668873 29006619 106357603 319072809 1343973347 2426887123 4031920041 7280661369 14783706817 26695758353 44351120451 80087275059 337337310097 1012011930291 3710710411067 11132131233201