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10220012211222 = 2341119301849259
BaseRepresentation
bin1001010010111000100000…
…1100101000110000010110
31100012000122020000121020000
42110232020030220300112
52314421041111224342
633423001522152130
72103241300314402
oct224561014506026
940160566017200
1010220012211222
113290312504760
1211908594b2646
135919875394a8
14274918d94102
1512aca524644c
hex94b88328c16

10220012211222 has 80 divisors (see below), whose sum is σ = 26297107531200. Its totient is φ = 2933974787760.

The previous prime is 10220012211209. The next prime is 10220012211329. The reversal of 10220012211222 is 22211221002201.

It is a happy number.

10220012211222 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 1 + 221 + 1 + 222 = 666.

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 = 10220012211195 and 10220012211204.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 150890772 + ... + 150958487.

It is an arithmetic number, because the mean of its divisors is an integer number (328713844140).

Almost surely, 210220012211222 is an apocalyptic number.

10220012211222 is an abundant number, since it is smaller than the sum of its proper divisors (16077095319978).

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

10220012211222 is a wasteful number, since it uses less digits than its factorization.

10220012211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301849303 (or 301849294 counting only the distinct ones).

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

Adding to 10220012211222 its reverse (22211221002201), we get a palindrome (32431233213423).

The spelling of 10220012211222 in words is "ten trillion, two hundred twenty billion, twelve million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 16929 33858 301849259 603698518 905547777 1811095554 2716643331 3320341849 5433286662 5735135921 6640683698 8149929993 9961025547 11470271842 16299859986 17205407763 19922051094 24449789979 29883076641 34410815526 48899579958 51616223289 59766153282 63086495131 89649229923 103232446578 126172990262 154848669867 179298459846 189259485393 268947689769 309697339734 378518970786 464546009601 537895379538 567778456179 929092019202 1135556912358 1703335368537 3406670737074 5110006105611 10220012211222