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2102220022221 = 331182920834099
BaseRepresentation
bin11110100101110110000…
…100111110000111001101
321102222012022212000012000
4132211312010332013031
5233420321311202341
64245425130502513
7304610654233404
oct36456604760715
97388168760160
102102220022221
117406014414a0
1229b511294a39
13123313c95a17
1473a686c063b
1539a3c08b8b6
hex1e97613e1cd

2102220022221 has 64 divisors (see below), whose sum is σ = 3404088960000. Its totient is φ = 1271614645440.

The previous prime is 2102220022207. The next prime is 2102220022229. The reversal of 2102220022221 is 1222200222012.

It is not a de Polignac number, because 2102220022221 - 213 = 2102220014029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102220022194 and 2102220022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102220022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512859630 + ... + 512863728.

It is an arithmetic number, because the mean of its divisors is an integer number (53188890000).

Almost surely, 22102220022221 is an apocalyptic number.

It is an amenable number.

2102220022221 is a deficient number, since it is larger than the sum of its proper divisors (1301868937779).

2102220022221 is a wasteful number, since it uses less digits than its factorization.

2102220022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7025 counting only the distinct ones).

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

Adding to 2102220022221 its reverse (1222200222012), we get a palindrome (3324420244233).

The spelling of 2102220022221 in words is "two trillion, one hundred two billion, two hundred twenty million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 829 2083 2487 4099 6249 7461 9119 12297 18747 22383 22913 27357 36891 45089 56241 68739 82071 110673 135267 206217 246213 405801 618651 1217403 1726807 3398071 5180421 8538217 10194213 15541263 18994877 25614651 30582639 37378781 46623789 56984631 76843953 91747917 93920387 112136343 170953893 230531859 281761161 336409029 512861679 845283483 1009227087 2535850449 7078181893 21234545679 63703637037 77860000823 191110911111 233580002469 700740007407 2102220022221