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20122222201101 = 32313711511693537
BaseRepresentation
bin1001001001101000100011…
…11010000000100100001101
32122020122222021002121222200
410210310101322000210031
510114140302340413401
6110444004332032113
74144532265420456
oct444642172004415
978218867077880
1020122222201101
116458871935799
12230b9a3602639
13b2c6959a39a7
144d7cc678012d
1524d659e91686
hex124d11e8090d

20122222201101 has 48 divisors (see below), whose sum is σ = 30840708907008. Its totient is φ = 12620230272000.

The previous prime is 20122222201069. The next prime is 20122222201121. The reversal of 20122222201101 is 10110222222102.

It is a happy number.

20122222201101 is a `hidden beast` number, since 20 + 122 + 222 + 201 + 101 = 666.

It is not a de Polignac number, because 20122222201101 - 25 = 20122222201069 is a prime.

It is a super-2 number, since 2×201222222011012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122222201121) 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 47 ways as a sum of consecutive naturals, for example, 11035005 + ... + 12728541.

It is an arithmetic number, because the mean of its divisors is an integer number (642514768896).

Almost surely, 220122222201101 is an apocalyptic number.

It is an amenable number.

20122222201101 is a deficient number, since it is larger than the sum of its proper divisors (10718486705907).

20122222201101 is a wasteful number, since it uses less digits than its factorization.

20122222201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694762 (or 1694759 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122222201101 its reverse (10110222222102), we get a palindrome (30232444423203).

The spelling of 20122222201101 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred one thousand, one hundred one".

Divisors: 1 3 9 31 37 93 111 279 333 1147 1151 3441 3453 10323 10359 35681 42587 107043 127761 321129 383283 1320197 1693537 3960591 5080611 11881773 15241833 52499647 62660869 157498941 187982607 472496823 563947821 1942486939 1949261087 5827460817 5847783261 17482382451 17543349783 60427093697 72122660219 181281281091 216367980657 543843843273 649103941971 2235802466789 6707407400367 20122222201101