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106220658555 = 3451159404119
BaseRepresentation
bin110001011101100111…
…1101001111101111011
3101011011200220112120000
41202323033221331323
53220014442033210
6120444101204043
710450150462164
oct1427317517573
9334150815500
10106220658555
1141058879a30
1218705100623
13a02a5168ab
1451d92ac76b
152b6a40cac0
hex18bb3e9f7b

106220658555 has 80 divisors (see below), whose sum is σ = 211241606400. Its totient is φ = 50627903040.

The previous prime is 106220658503. The next prime is 106220658581. The reversal of 106220658555 is 555856022601.

106220658555 is a `hidden beast` number, since 1 + 0 + 62 + 2 + 0 + 6 + 585 + 5 + 5 = 666.

It is not a de Polignac number, because 106220658555 - 26 = 106220658491 is a prime.

It is a super-2 number, since 2×1062206585552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106220658555.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60786 + ... + 464904.

It is an arithmetic number, because the mean of its divisors is an integer number (2640520080).

Almost surely, 2106220658555 is an apocalyptic number.

106220658555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106220658555 is a deficient number, since it is larger than the sum of its proper divisors (105020947845).

106220658555 is a wasteful number, since it uses less digits than its factorization.

106220658555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404206 (or 404197 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 106220658555 in words is "one hundred six billion, two hundred twenty million, six hundred fifty-eight thousand, five hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 59 81 99 135 165 177 295 297 405 495 531 649 885 891 1485 1593 1947 2655 3245 4455 4779 5841 7965 9735 17523 23895 29205 52569 87615 262845 404119 1212357 2020595 3637071 4445309 6061785 10911213 13335927 18185355 22226545 23843021 32733639 40007781 54556065 66679635 71529063 119215105 120023343 163668195 200038905 214587189 262273231 357645315 360070029 600116715 643761567 786819693 1072935945 1311366155 1800350145 1931284701 2360459079 3218807835 3934098465 7081377237 9656423505 11802295395 21244131711 35406886185 106220658555