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120202324220 = 225114719958417
BaseRepresentation
bin110111111110010011…
…1011110100011111100
3102111021002212202011002
41233330213132203330
53432133243333340
6131115320545432
711453503616636
oct1577447364374
9374232782132
10120202324220
1146a83095320
121b367622278
13b4480a6544
145b64171a56
1531d7b1d715
hex1bfc9de8fc

120202324220 has 96 divisors (see below), whose sum is σ = 282649651200. Its totient is φ = 42564234240.

The previous prime is 120202324219. The next prime is 120202324237. The reversal of 120202324220 is 22423202021.

120202324220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120202324192 and 120202324201.

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, 2028452 + ... + 2086868.

It is an arithmetic number, because the mean of its divisors is an integer number (2944267200).

Almost surely, 2120202324220 is an apocalyptic number.

120202324220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120202324220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141324825600).

120202324220 is an abundant number, since it is smaller than the sum of its proper divisors (162447326980).

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

120202324220 is a wasteful number, since it uses less digits than its factorization.

120202324220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58683 (or 58681 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 120202324220 its reverse (22423202021), we get a palindrome (142625526241).

The spelling of 120202324220 in words is "one hundred twenty billion, two hundred two million, three hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 199 220 235 398 470 517 796 940 995 1034 1990 2068 2189 2585 3980 4378 5170 8756 9353 10340 10945 18706 21890 37412 43780 46765 58417 93530 102883 116834 187060 205766 233668 292085 411532 514415 584170 642587 1028830 1168340 1285174 2057660 2570348 2745599 3212935 5491198 6425870 10982396 11624983 12851740 13727995 23249966 27455990 30201589 46499932 54911980 58124915 60403178 116249830 120806356 127874813 151007945 232499660 255749626 302015890 511499252 546374201 604031780 639374065 1092748402 1278748130 2185496804 2557496260 2731871005 5463742010 6010116211 10927484020 12020232422 24040464844 30050581055 60101162110 120202324220