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21122102222221 = 71113233307294991
BaseRepresentation
bin1001100110101110111110…
…11001100101110110001101
32202210020211121202111101111
410303113133121211312031
510232031031132102341
6112531205415012021
74310010245364040
oct463273731456615
982706747674344
1021122102222221
116803919063790
12245173136a011
13ba2a621520c0
1453045acb4c57
1526967ae08681
hex1335df665d8d

21122102222221 has 64 divisors (see below), whose sum is σ = 28574331641856. Its totient is φ = 15078189657600.

The previous prime is 21122102222201. The next prime is 21122102222237. The reversal of 21122102222221 is 12222220122112.

It is a cyclic number.

It is not a de Polignac number, because 21122102222221 - 239 = 20572346408333 is a prime.

It is a super-2 number, since 2×211221022222212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122102222192 and 21122102222201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122102222201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71455036 + ... + 71750026.

It is an arithmetic number, because the mean of its divisors is an integer number (446473931904).

Almost surely, 221122102222221 is an apocalyptic number.

It is an amenable number.

21122102222221 is a deficient number, since it is larger than the sum of its proper divisors (7452229419635).

21122102222221 is a wasteful number, since it uses less digits than its factorization.

21122102222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295562.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 21122102222221 its reverse (12222220122112), we get a palindrome (33344322344333).

The spelling of 21122102222221 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 233 307 1001 1631 2149 2563 3029 3377 3991 17941 21203 23639 27937 33319 43901 71531 233233 294991 307307 500717 786841 929903 2064937 3244901 3834883 5507887 6509321 10228933 22714307 26844181 42183713 68732903 71602531 90562237 295285991 481130321 633935659 756061933 893527739 996184607 1177309081 5292433531 6254694173 6973292249 8241163567 9828805129 12950399891 21101001221 68801635903 90652799237 147707008547 232111013431 274313015873 1624777094017 1920191111111 3017443174603 21122102222221