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4135120220 = 22571122312041
BaseRepresentation
bin1111011001111000…
…1110110101011100
3101200011221212112202
43312132032311130
531432042321340
61522153551032
7204320641040
oct36636166534
911604855482
104135120220
111832193030
12974a15478
1350b9108ca
142b3288020
15193065c15
hexf678ed5c

4135120220 has 96 divisors (see below), whose sum is σ = 10875949056. Its totient is φ = 1282982400.

The previous prime is 4135120169. The next prime is 4135120279. The reversal of 4135120220 is 220215314.

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 = 4135120192 and 4135120201.

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, 337400 + ... + 349440.

It is an arithmetic number, because the mean of its divisors is an integer number (113291136).

Almost surely, 24135120220 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 4135120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437974528).

4135120220 is an abundant number, since it is smaller than the sum of its proper divisors (6740828836).

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

4135120220 is a wasteful number, since it uses less digits than its factorization.

4135120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12291 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4135120220 is about 64304.9004353478. The cubic root of 4135120220 is about 1605.0776475344.

Adding to 4135120220 its reverse (220215314), we get a palindrome (4355335534).

The spelling of 4135120220 in words is "four billion, one hundred thirty-five million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 223 308 385 446 770 892 1115 1540 1561 2230 2453 3122 4460 4906 6244 7805 9812 12041 12265 15610 17171 24082 24530 31220 34342 48164 49060 60205 68684 84287 85855 120410 132451 168574 171710 240820 264902 337148 343420 421435 529804 662255 842870 927157 1324510 1685740 1854314 2649020 2685143 3708628 4635785 5370286 9271570 10740572 13425715 18543140 18796001 26851430 29536573 37592002 53702860 59073146 75184004 93980005 118146292 147682865 187960010 206756011 295365730 375920020 413512022 590731460 827024044 1033780055 2067560110 4135120220