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221021201102220 = 2232517591224222893
BaseRepresentation
bin110010010000010010000010…
…001011011111010110001100
31001222120102100112010120110100
4302100102002023133112030
5212432202404440232340
62102023423231211100
764361153255441211
oct6220220213372614
91058512315116410
10221021201102220
1164473624014162
1220957481076a90
13964329600513c
143c816a9d09b08
151a84406aae830
hexc904822df58c

221021201102220 has 144 divisors (see below), whose sum is σ = 721899756133920. Its totient is φ = 54531784501248.

The previous prime is 221021201102189. The next prime is 221021201102243. The reversal of 221021201102220 is 22201102120122.

It is a happy number.

221021201102220 is a `hidden beast` number, since 2 + 210 + 2 + 120 + 110 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221021201102193 and 221021201102202.

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, 611930907 + ... + 612291986.

It is an arithmetic number, because the mean of its divisors is an integer number (5013192750930).

Almost surely, 2221021201102220 is an apocalyptic number.

221021201102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021201102220 is an abundant number, since it is smaller than the sum of its proper divisors (500878555031700).

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

221021201102220 is a wasteful number, since it uses less digits than its factorization.

221021201102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224222984 (or 1224222979 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221021201102220 its reverse (22201102120122), we get a palindrome (243222303222342).

The spelling of 221021201102220 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 59 60 68 85 90 102 118 153 170 177 180 204 236 255 295 306 340 354 510 531 590 612 708 765 885 1003 1020 1062 1180 1530 1770 2006 2124 2655 3009 3060 3540 4012 5015 5310 6018 9027 10030 10620 12036 15045 18054 20060 30090 36108 45135 60180 90270 180540 1224222893 2448445786 3672668679 4896891572 6121114465 7345337358 11018006037 12242228930 14690674716 18363343395 20811789181 22036012074 24484457860 36726686790 41623578362 44072024148 55090030185 62435367543 72229150687 73453373580 83247156724 104058945905 110180060370 124870735086 144458301374 187306102629 208117891810 216687452061 220360120740 249741470172 288916602748 312176837715 361145753435 374612205258 416235783620 433374904122 624353675430 650062356183 722291506870 749224410516 866749808244 936530513145 1083437260305 1227895561679 1248707350860 1300124712366 1444583013740 1873061026290 2166874520610 2455791123358 2600249424732 3250311780915 3683686685037 3746122052580 4333749041220 4911582246716 6139477808395 6500623561830 7367373370074 11051060055111 12278955616790 13001247123660 14734746740148 18418433425185 22102120110222 24557911233580 36836866850370 44204240220444 55255300275555 73673733700740 110510600551110 221021201102220