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1221100011021 = 311172394636907
BaseRepresentation
bin10001110001001111001…
…110110111111000001101
311022201212120002201200010
4101301033032313320031
5130001303100323041
62332544323023433
7154135665560112
oct21611716677015
94281776081603
101221100011021
11430958138730
121787a7b0ab79
138b1c2b48327
144315c952909
1521b6c2e0a16
hex11c4f3b7e0d

1221100011021 has 32 divisors (see below), whose sum is σ = 1962390924288. Its totient is φ = 666243818240.

The previous prime is 1221100011007. The next prime is 1221100011031. The reversal of 1221100011021 is 1201100011221.

It is not a de Polignac number, because 1221100011021 - 229 = 1220563140109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1221100010988 and 1221100011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221100011031) 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 31 ways as a sum of consecutive naturals, for example, 47305551 + ... + 47331356.

It is an arithmetic number, because the mean of its divisors is an integer number (61324716384).

Almost surely, 21221100011021 is an apocalyptic number.

1221100011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221100011021 is a deficient number, since it is larger than the sum of its proper divisors (741290913267).

1221100011021 is a wasteful number, since it uses less digits than its factorization.

1221100011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94636961.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221100011021 its reverse (1201100011221), we get a palindrome (2422200022242).

The spelling of 1221100011021 in words is "one trillion, two hundred twenty-one billion, one hundred million, eleven thousand, twenty-one".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 4301 12903 94636907 283910721 1041005977 1608827419 2176648861 3123017931 4826482257 6529946583 17697101609 23943137471 37003030637 53091304827 71829412413 111009091911 407033337007 1221100011021