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22120122101 = 71117103359457
BaseRepresentation
bin10100100110011101…
…100100011011110101
32010002120220122000112
4110212131210123311
5330300222401401
614054542552405
71412104635620
oct244635443365
963076818015
1022120122101
119421261150
124353b98705
1321169bc65c
1410dbaccdb7
15896e5a3bb
hex5267646f5

22120122101 has 64 divisors (see below), whose sum is σ = 29630914560. Its totient is φ = 15985244160.

The previous prime is 22120122077. The next prime is 22120122113. The reversal of 22120122101 is 10122102122.

It is not a de Polignac number, because 22120122101 - 226 = 22053013237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120122121) 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 63 ways as a sum of consecutive naturals, for example, 48402665 + ... + 48403121.

It is an arithmetic number, because the mean of its divisors is an integer number (462983040).

Almost surely, 222120122101 is an apocalyptic number.

It is an amenable number.

22120122101 is a deficient number, since it is larger than the sum of its proper divisors (7510792459).

22120122101 is a wasteful number, since it uses less digits than its factorization.

22120122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22120122101 its reverse (10122102122), we get a palindrome (32242224223).

The spelling of 22120122101 in words is "twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 7 11 17 77 103 119 187 359 457 721 1133 1309 1751 2513 3199 3949 5027 6103 7769 7931 12257 19261 27643 35189 36977 42721 47071 54383 67133 85459 134827 164063 258839 329497 406747 469931 517781 598213 628609 800207 1148441 1804693 2789071 2847229 3624467 4400263 5601449 6914699 8802277 12632851 16898489 19523497 30679781 48402893 61615939 118289423 185883379 214758467 287274313 1301183653 2010920191 3160017443 22120122101