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4101222020 = 2257149421467
BaseRepresentation
bin1111010001110011…
…1010111010000100
3101120211011122221212
43310130322322010
531344403101040
61514543230552
7203426545340
oct36434727204
911524148855
104101222020
11181503a895
129655a8458
135048a24bc
142ac982620
151900bbd65
hexf473ae84

4101222020 has 96 divisors (see below), whose sum is σ = 9953798400. Its totient is φ = 1390394880.

The previous prime is 4101222019. The next prime is 4101222031. The reversal of 4101222020 is 202221014.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4101221986 and 4101222004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8781827 + ... + 8782293.

It is an arithmetic number, because the mean of its divisors is an integer number (103685400).

Almost surely, 24101222020 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 4101222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976899200).

4101222020 is an abundant number, since it is smaller than the sum of its proper divisors (5852576380).

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

4101222020 is a wasteful number, since it uses less digits than its factorization.

4101222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4101222020 is about 64040.7840364248. The cubic root of 4101222020 is about 1600.6796617674.

Adding to 4101222020 its reverse (202221014), we get a palindrome (4303443034).

The spelling of 4101222020 in words is "four billion, one hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 298 421 467 596 745 842 934 1043 1490 1684 1868 2086 2105 2335 2947 2980 3269 4172 4210 4670 5215 5894 6538 8420 9340 10430 11788 13076 14735 16345 20860 29470 32690 58940 62729 65380 69583 125458 139166 196607 250916 278332 313645 347915 393214 439103 487081 627290 695830 786428 878206 974162 983035 1254580 1376249 1391660 1756412 1948324 1966070 2195515 2435405 2752498 3932140 4391030 4870810 5504996 6881245 8782060 9741620 13762490 27524980 29294443 58588886 117177772 146472215 205061101 292944430 410122202 585888860 820244404 1025305505 2050611010 4101222020