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12032222300131 = 111291910393077
BaseRepresentation
bin1010111100010111100001…
…0101100000011111100011
31120121021021021000112211211
42233011320111200133203
53034113442402101011
641331305425450551
72351204454026335
oct257057025403743
946537237015754
1012032222300131
113919922899910
121423b12aa0a57
136938312c3677
142d851122b455
1515cebbbbdb21
hexaf1785607e3

12032222300131 has 16 divisors (see below), whose sum is σ = 13137812264448. Its totient is φ = 10928593000800.

The previous prime is 12032222300117. The next prime is 12032222300141. The reversal of 12032222300131 is 13100322223021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12032222300131 is a prime.

It is a super-2 number, since 2×120322223001312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12032222300141) 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 15 ways as a sum of consecutive naturals, for example, 129225165 + ... + 129318241.

It is an arithmetic number, because the mean of its divisors is an integer number (821113266528).

Almost surely, 212032222300131 is an apocalyptic number.

12032222300131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12032222300131 is a deficient number, since it is larger than the sum of its proper divisors (1105589964317).

12032222300131 is a wasteful number, since it uses less digits than its factorization.

12032222300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103482.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12032222300131 its reverse (13100322223021), we get a palindrome (25132544523152).

The spelling of 12032222300131 in words is "twelve trillion, thirty-two billion, two hundred twenty-two million, three hundred thousand, one hundred thirty-one".

Divisors: 1 11 1291 9103 14201 93077 100133 1023847 11751973 120162407 129271703 847279931 1321786477 9320079241 1093838390921 12032222300131