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221022002101020 = 2235107155303221677
BaseRepresentation
bin110010010000010010110001…
…111011000011101100011100
31001222120111102100100112020120
4302100102301323003230130
5212432211030014213040
62102024034523314540
764361212153014531
oct6220226173035434
91058514370315216
10221022002101020
11644739a517743a
122095766537ba50
139643392c47823
143c81744454d88
151a844520827d0
hexc904b1ec3b1c

221022002101020 has 96 divisors (see below), whose sum is σ = 624652199152128. Its totient is φ = 58387727553792.

The previous prime is 221022002101013. The next prime is 221022002101051. The reversal of 221022002101020 is 20101200220122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996934422 + ... + 997156098.

It is an arithmetic number, because the mean of its divisors is an integer number (6506793741168).

Almost surely, 2221022002101020 is an apocalyptic number.

221022002101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022002101020 is an abundant number, since it is smaller than the sum of its proper divisors (403630197051108).

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

221022002101020 is a wasteful number, since it uses less digits than its factorization.

221022002101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377099 (or 377097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221022002101020 its reverse (20101200220122), we get a palindrome (241123202321142).

The spelling of 221022002101020 in words is "two hundred twenty-one trillion, twenty-two billion, two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 155303 221677 310606 443354 465909 621212 665031 776515 886708 931818 1108385 1330062 1553030 1863636 2216770 2329545 2660124 3106060 3325155 4433540 4659090 6650310 9318180 13300620 16617421 23719439 33234842 47438878 49852263 66469684 71158317 83087105 94877756 99704526 118597195 142316634 166174210 199409052 237194390 249261315 284633268 332348420 355791585 474388780 498522630 711583170 997045260 1423166340 34427103131 68854206262 103281309393 137708412524 172135515655 206562618786 344271031310 413125237572 516406546965 688542062620 1032813093930 2065626187860 3683700035017 7367400070034 11051100105051 14734800140068 18418500175085 22102200210102 36837000350170 44204400420204 55255500525255 73674000700340 110511001050510 221022002101020