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1001120000221 = 11412219778271
BaseRepresentation
bin11101001000101110110…
…01101110100011011101
310112201001202220022221201
432210113121232203131
5112400243210001341
62043524055555501
7132220454411545
oct16442731564335
93481052808851
101001120000221
11356633160710
1214203508bb91
137353632ca73
14366510b0325
151b094c4d331
hexe91766e8dd

1001120000221 has 8 divisors (see below), whose sum is σ = 1118768249088. Its totient is φ = 887911308000.

The previous prime is 1001120000219. The next prime is 1001120000233. The reversal of 1001120000221 is 1220000211001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001120000221 - 21 = 1001120000219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001120000198 and 1001120000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120000201) 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 7 ways as a sum of consecutive naturals, for example, 1109888685 + ... + 1109889586.

It is an arithmetic number, because the mean of its divisors is an integer number (139846031136).

Almost surely, 21001120000221 is an apocalyptic number.

1001120000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001120000221 is a deficient number, since it is larger than the sum of its proper divisors (117648248867).

1001120000221 is a wasteful number, since it uses less digits than its factorization.

1001120000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219778323.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001120000221 its reverse (1220000211001), we get a palindrome (2221120211222).

The spelling of 1001120000221 in words is "one trillion, one billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 41 451 2219778271 24417560981 91010909111 1001120000221