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102222220221 = 32113113320089
BaseRepresentation
bin101111100110011101…
…0110100101110111101
3100202212001010211022100
41133030322310232331
53133322342021341
6114543224535313
710246106351442
oct1371472645675
9322761124270
10102222220221
113a396862040
121798a021539
139841020c54
144d3a2439c9
1529d43953b6
hex17cceb4bbd

102222220221 has 24 divisors (see below), whose sum is σ = 161595420480. Its totient is φ = 61753636800.

The previous prime is 102222220187. The next prime is 102222220231. The reversal of 102222220221 is 122022222201.

102222220221 is a `hidden beast` number, since 1 + 0 + 2 + 222 + 220 + 221 = 666.

It is not a de Polignac number, because 102222220221 - 211 = 102222218173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102222220194 and 102222220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222220231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629256 + ... + 1690833.

It is an arithmetic number, because the mean of its divisors is an integer number (6733142520).

Almost surely, 2102222220221 is an apocalyptic number.

102222220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222220221 is a deficient number, since it is larger than the sum of its proper divisors (59373200259).

102222220221 is a wasteful number, since it uses less digits than its factorization.

102222220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320417 (or 3320414 counting only the distinct ones).

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

Adding to 102222220221 its reverse (122022222201), we get a palindrome (224244442422).

The spelling of 102222220221 in words is "one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 311 933 2799 3421 10263 30789 3320089 9960267 29880801 36520979 109562937 328688811 1032547679 3097643037 9292929111 11358024469 34074073407 102222220221