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6122106435441 = 3376111318144207
BaseRepresentation
bin101100100010110100111…
…1110101011011101110001
3210200021020010100011121010
41121011221332223131301
51300301033221413231
621004242403421133
71201210335042603
oct131055176533561
923607203304533
106122106435441
111a50409530707
1282a6090847a9
13355409a79269
14172450bb9173
15a93b3d27546
hex59169fab771

6122106435441 has 64 divisors (see below), whose sum is σ = 8643952751616. Its totient is φ = 3849953587200.

The previous prime is 6122106435383. The next prime is 6122106435461. The reversal of 6122106435441 is 1445346012216.

It is not a de Polignac number, because 6122106435441 - 223 = 6122098046833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6122106435441.

It is not an unprimeable number, because it can be changed into a prime (6122106435461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138465160 + ... + 138509366.

It is an arithmetic number, because the mean of its divisors is an integer number (135061761744).

Almost surely, 26122106435441 is an apocalyptic number.

6122106435441 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6122106435441 is a deficient number, since it is larger than the sum of its proper divisors (2521846316175).

6122106435441 is a wasteful number, since it uses less digits than its factorization.

6122106435441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44602.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 6122106435441 in words is "six trillion, one hundred twenty-two billion, one hundred six million, four hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 3 37 61 111 113 181 183 339 543 2257 4181 6697 6771 6893 11041 12543 20091 20453 20679 33123 44207 61359 132621 255041 408517 756761 765123 1225551 1247633 1635659 2270283 2696627 3742899 4906977 4995391 8001467 8089881 14986173 24004401 46162421 99775199 138487263 184829467 296054279 299325597 304718851 488089487 554488401 888162837 904165771 914156553 1464268461 2712497313 11274597487 18059311019 33454133527 33823792461 54177933057 55154112031 100362400581 165462336093 2040702145147 6122106435441