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1221000011 = 71123689441
BaseRepresentation
bin100100011000110…
…1111101101001011
310011002112020010122
41020301233231023
510000034000021
6321054133455
742154220540
oct11061575513
93132466118
101221000011
1157724a420
122a0ab128b
13165c67b1a
14b8238bc7
15722d7bab
hex48c6fb4b

1221000011 has 16 divisors (see below), whose sum is σ = 1588474368. Its totient is φ = 910060800.

The previous prime is 1220999999. The next prime is 1221000017. The reversal of 1221000011 is 1100001221.

1221000011 = T5593 + T5594 + ... + T5669.

It is not a de Polignac number, because 1221000011 - 218 = 1220737867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342950 + ... + 346491.

It is an arithmetic number, because the mean of its divisors is an integer number (99279648).

Almost surely, 21221000011 is an apocalyptic number.

1221000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221000011 is a deficient number, since it is larger than the sum of its proper divisors (367474357).

1221000011 is a wasteful number, since it uses less digits than its factorization.

1221000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689482.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1221000011 is about 34942.8105767123. The cubic root of 1221000011 is about 1068.8216016413.

Adding to 1221000011 its reverse (1100001221), we get a palindrome (2321001232).

The spelling of 1221000011 in words is "one billion, two hundred twenty-one million, eleven", and thus it is an aban number.

Divisors: 1 7 11 23 77 161 253 1771 689441 4826087 7583851 15857143 53086957 111000001 174428573 1221000011