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21222211101 = 37213193715797
BaseRepresentation
bin10011110000111100…
…010011111000011101
32000210000100000200120
4103300330103320131
5321430341223401
613425505345153
71350622550400
oct236074237035
960700300616
1021222211101
119000426343
1241433381b9
132002977a80
141054757d37
158431e2836
hex4f0f13e1d

21222211101 has 96 divisors (see below), whose sum is σ = 38324684160. Its totient is φ = 10317694464.

The previous prime is 21222211097. The next prime is 21222211111. The reversal of 21222211101 is 10111222212.

It is not a de Polignac number, because 21222211101 - 22 = 21222211097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222211111) 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 95 ways as a sum of consecutive naturals, for example, 1335535 + ... + 1351331.

It is an arithmetic number, because the mean of its divisors is an integer number (399215460).

Almost surely, 221222211101 is an apocalyptic number.

21222211101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21222211101 is a deficient number, since it is larger than the sum of its proper divisors (17102473059).

21222211101 is a wasteful number, since it uses less digits than its factorization.

21222211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15883 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21222211101 its reverse (10111222212), we get a palindrome (31333433313).

The spelling of 21222211101 in words is "twenty-one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 7 13 19 21 37 39 49 57 91 111 133 147 247 259 273 399 481 637 703 741 777 931 1443 1729 1813 1911 2109 2793 3367 4921 5187 5439 9139 10101 12103 14763 15797 23569 27417 34447 36309 47391 63973 70707 103341 110579 191919 205361 300143 331737 447811 584489 616083 774053 900429 1343433 1437527 1753467 2101001 2322159 3901859 4091423 4312581 6303003 7598357 10062689 11105291 11705577 12274269 14707007 22795071 27313013 28639961 30188067 33315873 44121021 53188499 77737037 81939039 85919883 144368783 159565497 191191091 233211111 372319493 433106349 544159259 573573273 1010581481 1116958479 1632477777 3031744443 7074070367 21222211101