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100101221221986 = 232291049351152067
BaseRepresentation
bin10110110000101010100001…
…101110111000011001100010
3111010102120202012220101011100
4112300222201232320121202
5101110024300113100421
6552521511032455230
730041034402264555
oct2660524156703142
9433376665811140
10100101221221986
1129993764823446
12b28835454a516
1343b167396a53a
141aa0cd412869c
15b88ce0d37c26
hex5b0aa1bb8662

100101221221986 has 96 divisors (see below), whose sum is σ = 224646969456000. Its totient is φ = 32175988266240.

The previous prime is 100101221221919. The next prime is 100101221221999. The reversal of 100101221221986 is 689122122101001.

100101221221986 is a `hidden beast` number, since 100 + 101 + 221 + 221 + 9 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100101221221986.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922520325 + ... + 1922572391.

It is an arithmetic number, because the mean of its divisors is an integer number (2340072598500).

Almost surely, 2100101221221986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101221221986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112323484728000).

100101221221986 is an abundant number, since it is smaller than the sum of its proper divisors (124545748234014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101221221986 is a wasteful number, since it uses less digits than its factorization.

100101221221986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56664 (or 56661 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 100101221221986 its reverse (689122122101001), we get a palindrome (789223343322987).

The spelling of 100101221221986 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 1049 2098 3147 3511 6294 7022 9441 10533 18882 21066 30421 31599 52067 60842 63198 91263 101819 104134 156201 182526 203638 273789 305457 312402 468603 547578 610914 916371 937206 1509943 1832742 3019886 3683039 4529829 7366078 9059658 11049117 13589487 22098234 27178974 33147351 54618283 66294702 106808131 109236566 163854849 182807237 213616262 320424393 327709698 365614474 491564547 548421711 640848786 961273179 983129094 1096843422 1583930207 1645265133 1922546358 3167860414 3290530266 4751790621 5301409873 9503581242 10602819746 14255371863 15904229619 28510743726 31808459238 47712688857 95425377714 191764791613 383529583226 575294374839 1150588749678 1725883124517 3451766249034 5561178956777 11122357913554 16683536870331 33367073740662 50050610610993 100101221221986