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117106221555 = 33519375712161
BaseRepresentation
bin110110100010000010…
…0110010000111110011
3102012021100000102202000
41231010010302013303
53404313143042210
6125444200425043
711314000313361
oct1550404620763
9365240012660
10117106221555
1145734455594
121a842778183
13b07381442b
14594ccb0631
1530a5de4ac0
hex1b441321f3

117106221555 has 128 divisors (see below), whose sum is σ = 225567513600. Its totient is φ = 57442867200.

The previous prime is 117106221487. The next prime is 117106221569. The reversal of 117106221555 is 555122601711.

117106221555 is a `hidden beast` number, since 1 + 1 + 7 + 10 + 622 + 15 + 5 + 5 = 666.

It is not a de Polignac number, because 117106221555 - 210 = 117106220531 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 54189675 + ... + 54191835.

It is an arithmetic number, because the mean of its divisors is an integer number (1762246200).

Almost surely, 2117106221555 is an apocalyptic number.

117106221555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117106221555 is a deficient number, since it is larger than the sum of its proper divisors (108461292045).

117106221555 is a wasteful number, since it uses less digits than its factorization.

117106221555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 117106221555 in words is "one hundred seventeen billion, one hundred six million, two hundred twenty-one thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 19 27 37 45 57 95 111 135 171 185 285 333 513 555 571 703 855 999 1665 1713 2109 2161 2565 2855 3515 4995 5139 6327 6483 8565 10545 10805 10849 15417 18981 19449 21127 25695 31635 32415 32547 41059 54245 58347 63381 77085 79957 94905 97245 97641 105635 123177 162735 190143 205295 239871 291735 292923 316905 369531 399785 401413 488205 570429 615885 719613 950715 1108593 1199355 1204239 1233931 1464615 1519183 1847655 2007065 2158839 2852145 3598065 3612717 3701793 4557549 5542965 6021195 6169655 7595915 10794195 10838151 11105379 13672647 18063585 18508965 22787745 23444689 33316137 41017941 45655447 54190755 55526895 68363235 70334067 117223445 136966341 166580685 205089705 211002201 228277235 351670335 410899023 633006603 684831705 867453493 1055011005 1232697069 2054495115 2602360479 3165033015 4337267465 6163485345 7807081437 13011802395 23421244311 39035407185 117106221555