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20102220202122 = 2323733598985863
BaseRepresentation
bin1001001001000011010011…
…01100011100000010001010
32122011202100021210210122200
410210201221230130002022
510113323321332431442
6110430455451501030
74143223520266602
oct444415154340212
978152307723580
1020102220202122
116450338270923
122307b40a57776
13b2a828a79236
144d6d4a0d7c02
1524cd88e7d34c
hex124869b1c08a

20102220202122 has 48 divisors (see below), whose sum is σ = 44745289505280. Its totient is φ = 6517697312736.

The previous prime is 20102220202121. The next prime is 20102220202123. The reversal of 20102220202122 is 22120202220102.

20102220202122 is a `hidden beast` number, since 20 + 102 + 220 + 202 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (20102220202121) and next prime (20102220202123).

It is a super-3 number, since 3×201022202021223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20102220202095 and 20102220202104.

It is not an unprimeable number, because it can be changed into a prime (20102220202121) 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 23 ways as a sum of consecutive naturals, for example, 2255838 + ... + 6730025.

It is an arithmetic number, because the mean of its divisors is an integer number (932193531360).

Almost surely, 220102220202122 is an apocalyptic number.

20102220202122 is an abundant number, since it is smaller than the sum of its proper divisors (24643069303158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20102220202122 is a wasteful number, since it uses less digits than its factorization.

20102220202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8989267 (or 8989264 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20102220202122 its reverse (22120202220102), we get a palindrome (42222422422224).

The spelling of 20102220202122 in words is "twenty trillion, one hundred two billion, two hundred twenty million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3359 6718 10077 20154 30231 60462 124283 248566 372849 745698 1118547 2237094 8985863 17971726 26957589 53915178 80872767 161745534 332476931 664953862 997430793 1994861586 2992292379 5984584758 30183513817 60367027634 90550541451 181101082902 271651624353 543303248706 1116790011229 2233580022458 3350370033687 6700740067374 10051110101061 20102220202122