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22202124141141 = 32722317912228553
BaseRepresentation
bin1010000110001010101011…
…01110010000001001010101
32220121111120012112120222100
411003011111232100021111
510402224422240004031
6115115303124552313
74451023222255200
oct503052556201125
986544505476870
1022202124141141
11708a9602a676a
1225a6b06552699
13c50860c58409
1456a834d60937
152877dca1cde6
hex143155b90255

22202124141141 has 72 divisors (see below), whose sum is σ = 39145068780480. Its totient is φ = 12067526427264.

The previous prime is 22202124141137. The next prime is 22202124141143. The reversal of 22202124141141 is 14114142120222.

22202124141141 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 2 + 1 + 241 + 411 + 4 + 1 = 666.

It is not a de Polignac number, because 22202124141141 - 22 = 22202124141137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202124141143) 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 71 ways as a sum of consecutive naturals, for example, 4298680 + ... + 7929873.

It is an arithmetic number, because the mean of its divisors is an integer number (543681510840).

Almost surely, 222202124141141 is an apocalyptic number.

22202124141141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22202124141141 is a deficient number, since it is larger than the sum of its proper divisors (16942944639339).

22202124141141 is a wasteful number, since it uses less digits than its factorization.

22202124141141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228775 (or 12228765 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 22202124141141 its reverse (14114142120222), we get a palindrome (36316266261363).

The spelling of 22202124141141 in words is "twenty-two trillion, two hundred two billion, one hundred twenty-four million, one hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 179 207 441 483 537 1127 1253 1449 1611 3381 3759 4117 8771 10143 11277 12351 26313 28819 37053 78939 86457 201733 259371 605199 1815597 12228553 36685659 85599871 110056977 256799613 281256719 599199097 770398839 843770157 1797597291 1968797033 2188910987 2531310471 5392791873 5906391099 6566732961 13781579231 15322376909 17719173297 19700198883 41344737693 45967130727 50344952701 107256638363 124034213079 137901392181 151034858103 321769915089 352414668907 453104574309 965309745267 1057244006721 2466902682349 3171732020163 7400708047047 22202124141141