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4102230301020 = 22325389467125453
BaseRepresentation
bin111011101100011111111…
…110101101100101011100
3112112011120111001002000100
4323230133332231211130
51014202331424113040
612420312200101100
7602243043142005
oct73543776554534
915464514032010
104102230301020
111341823072955
12563058764790
13239ab96b8807
141027986881ac
1571a95de9b30
hex3bb1ffad95c

4102230301020 has 144 divisors (see below), whose sum is σ = 12502233787680. Its totient is φ = 1088770810368.

The previous prime is 4102230300977. The next prime is 4102230301133. The reversal of 4102230301020 is 201030322014.

4102230301020 is a `hidden beast` number, since 410 + 2 + 230 + 3 + 0 + 1 + 0 + 20 = 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 = 4102230300984 and 4102230301002.

It is a congruent number.

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, 32636614 + ... + 32762066.

It is an arithmetic number, because the mean of its divisors is an integer number (86821067970).

Almost surely, 24102230301020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102230301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251116893840).

4102230301020 is an abundant number, since it is smaller than the sum of its proper divisors (8400003486660).

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

4102230301020 is a wasteful number, since it uses less digits than its factorization.

4102230301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126324 (or 126319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4102230301020 its reverse (201030322014), we get a palindrome (4303260623034).

The spelling of 4102230301020 in words is "four trillion, one hundred two billion, two hundred thirty million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 389 467 778 934 1167 1401 1556 1868 1945 2334 2335 2802 3501 3890 4203 4668 4670 5604 5835 7002 7005 7780 8406 9340 11670 14004 14010 16812 17505 21015 23340 28020 35010 42030 70020 84060 125453 181663 250906 363326 376359 501812 544989 627265 726652 752718 908315 1089978 1129077 1254530 1505436 1634967 1816630 1881795 2179956 2258154 2509060 2724945 3269934 3633260 3763590 4516308 5449890 5645385 6539868 7527180 8174835 10899780 11290770 16349670 22581540 32699340 48801217 58586551 97602434 117173102 146403651 175759653 195204868 234346204 244006085 292807302 292932755 351519306 439210953 488012170 527278959 585614604 585865510 703038612 732018255 878421906 878798265 976024340 1054557918 1171731020 1464036510 1756843812 1757596530 2109115836 2196054765 2636394795 2928073020 3515193060 4392109530 5272789590 8784219060 10545579180 22790168339 45580336678 68370505017 91160673356 113950841695 136741010034 205111515051 227901683390 273482020068 341852525085 410223030102 455803366780 683705050170 820446060204 1025557575255 1367410100340 2051115150510 4102230301020