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12032031020101 = 1011092579342373
BaseRepresentation
bin1010111100010110110011…
…1011110101010001000101
31120121020202221002111222021
42233011230323311101011
53034113044420120401
641331234434003141
72351166642130531
oct257055473652105
946536687074867
1012032031020101
113919834922344
121423a7aa164b1
136938007a0411
142d84d3a78bc1
1515cea9ed82a1
hexaf16cef5445

12032031020101 has 16 divisors (see below), whose sum is σ = 12263403406320. Its totient is φ = 11802873139200.

The previous prime is 12032031020083. The next prime is 12032031020123. The reversal of 12032031020101 is 10102013023021.

It can be written as a sum of positive squares in 8 ways, for example, as 213768447201 + 11818262572900 = 462351^2 + 3437770^2 .

It is a cyclic number.

It is not a de Polignac number, because 12032031020101 - 25 = 12032031020069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032031020131) 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, 283933951 + ... + 283976323.

It is an arithmetic number, because the mean of its divisors is an integer number (766462712895).

Almost surely, 212032031020101 is an apocalyptic number.

It is an amenable number.

12032031020101 is a deficient number, since it is larger than the sum of its proper divisors (231372386219).

12032031020101 is a wasteful number, since it uses less digits than its factorization.

12032031020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68376.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12032031020101 its reverse (10102013023021), we get a palindrome (22134044043122).

The spelling of 12032031020101 in words is "twelve trillion, thirty-two billion, thirty-one million, twenty thousand, one hundred one".

Divisors: 1 101 109 11009 25793 42373 2605093 2811437 4279673 4618657 283955137 466484357 1092926789 110385605689 119129020001 12032031020101