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22002200122221 = 33111722731917173
BaseRepresentation
bin1010000000010110010010…
…10100101001001101101101
32212220101112011020010221000
411000023021110221031231
510340441001212402341
6114443400551230513
74430415013165314
oct500131124511555
985811464203830
1022002200122221
117013098411250
122574210378439
13c37a4c5c0277
14560caadbb27b
152824db0a68b6
hex1402c952936d

22002200122221 has 64 divisors (see below), whose sum is σ = 37667407760640. Its totient is φ = 12544746577920.

The previous prime is 22002200122121. The next prime is 22002200122223. The reversal of 22002200122221 is 12222100220022.

22002200122221 is a `hidden beast` number, since 2 + 200 + 220 + 0 + 1 + 22 + 221 = 666.

It is not a de Polignac number, because 22002200122221 - 215 = 22002200089453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22002200122194 and 22002200122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002200122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10517791 + ... + 12434963.

It is an arithmetic number, because the mean of its divisors is an integer number (588553246260).

Almost surely, 222002200122221 is an apocalyptic number.

It is an amenable number.

22002200122221 is a deficient number, since it is larger than the sum of its proper divisors (15665207638419).

22002200122221 is a wasteful number, since it uses less digits than its factorization.

22002200122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919483 (or 1919477 counting only the distinct ones).

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

Adding to 22002200122221 its reverse (12222100220022), we get a palindrome (34224300342243).

The spelling of 22002200122221 in words is "twenty-two trillion, two billion, two hundred million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 2273 5049 6819 20457 25003 38641 61371 75009 115923 225027 347769 425051 675081 1043307 1275153 1917173 3825459 5751519 11476377 17254557 21088903 32591941 51763671 63266709 97775823 189800127 293327469 358511351 569400381 879982407 1075534053 3226602159 4357734229 9679806477 13073202687 39219608061 47935076519 74081481893 117658824183 143805229557 222244445679 431415688671 666733337037 814896300823 1294247066013 2000200011111 2444688902469 7334066707407 22002200122221