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1220000221 = 11110909111
BaseRepresentation
bin100100010110111…
…1011100111011101
310011000122102200101
41020231323213131
54444310001341
6321020501101
742142554646
oct11055734735
93130572611
101220000221
11576727250
122a06aa791
131659a7a2b
14b80586cd
157218b831
hex48b7b9dd

1220000221 has 4 divisors (see below), whose sum is σ = 1330909344. Its totient is φ = 1109091100.

The previous prime is 1220000191. The next prime is 1220000231.

1220000221 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1220000221 - 215 = 1219967453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220000198 and 1220000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220000231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55454545 + ... + 55454566.

It is an arithmetic number, because the mean of its divisors is an integer number (332727336).

Almost surely, 21220000221 is an apocalyptic number.

1220000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220000221 is a deficient number, since it is larger than the sum of its proper divisors (110909123).

1220000221 is a wasteful number, since it uses less digits than its factorization.

1220000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110909122.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1220000221 is about 34928.5015567516. The cubic root of 1220000221 is about 1068.5297946694.

It can be divided in two parts, 1220000 and 221, that added together give a palindrome (1220221).

The spelling of 1220000221 in words is "one billion, two hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 110909111 1220000221