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12110011100001 = 321345556788889
BaseRepresentation
bin1011000000111001010011…
…1010001110101101100001
31120212201001111101000111200
42300032110322032231201
53041402300320200001
641431132353431413
72356630235643333
oct260162472165541
946781044330450
1012110011100001
113949910616571
12143700226b569
1369ac7a2a4c29
142dc1b0451453
15160020eac086
hexb0394e8eb61

12110011100001 has 6 divisors (see below), whose sum is σ = 17492238255570. Its totient is φ = 8073340733328.

The previous prime is 12110011099993. The next prime is 12110011100017. The reversal of 12110011100001 is 10000111001121.

It can be written as a sum of positive squares in only one way, i.e., 12010549709376 + 99461390625 = 3465624^2 + 315375^2 .

It is not a de Polignac number, because 12110011100001 - 23 = 12110011099993 is a prime.

It is a super-3 number, since 3×121100111000013 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1345556788889 = 12110011100001 / (1 + 2 + 1 + 1 + 0 + 0 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (12110011100041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 672778394436 + ... + 672778394453.

It is an arithmetic number, because the mean of its divisors is an integer number (2915373042595).

Almost surely, 212110011100001 is an apocalyptic number.

It is an amenable number.

12110011100001 is a deficient number, since it is larger than the sum of its proper divisors (5382227155569).

12110011100001 is a wasteful number, since it uses less digits than its factorization.

12110011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345556788895 (or 1345556788892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12110011100001 its reverse (10000111001121), we get a palindrome (22110122101122).

The spelling of 12110011100001 in words is "twelve trillion, one hundred ten billion, eleven million, one hundred thousand, one".

Divisors: 1 3 9 1345556788889 4036670366667 12110011100001