Search a number
-
+
201101001220 = 225717293288383
BaseRepresentation
bin1011101101001010001…
…1011100001000000100
3201020002002000100020101
42323102203130020010
511243323324014340
6232215020213444
720346320210050
oct2732243341004
9636062010211
10201101001220
11783172aa769
1232b8439a284
1315c6b4607a2
149a3a400c60
15536ee56c9a
hex2ed28dc204

201101001220 has 96 divisors (see below), whose sum is σ = 512779051008. Its totient is φ = 64671393792.

The previous prime is 201101001197. The next prime is 201101001223. The reversal of 201101001220 is 22100101102.

It is a super-2 number, since 2×2011010012202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201101001197 and 201101001206.

It is not an unprimeable number, because it can be changed into a prime (201101001223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553149 + ... + 841531.

It is an arithmetic number, because the mean of its divisors is an integer number (5341448448).

Almost surely, 2201101001220 is an apocalyptic number.

201101001220 is a gapful number since it is divisible by the number (20) 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 201101001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256389525504).

201101001220 is an abundant number, since it is smaller than the sum of its proper divisors (311678049788).

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

201101001220 is a wasteful number, since it uses less digits than its factorization.

201101001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288709 (or 288707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201101001220 its reverse (22100101102), we get a palindrome (223201102322).

The spelling of 201101001220 in words is "two hundred one billion, one hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 293 340 476 586 595 1172 1190 1465 2051 2380 2930 4102 4981 5860 8204 9962 10255 19924 20510 24905 34867 41020 49810 69734 99620 139468 174335 288383 348670 576766 697340 1153532 1441915 2018681 2883830 4037362 4902511 5767660 8074724 9805022 10093405 19610044 20186810 24512555 34317577 40373620 49025110 68635154 84496219 98050220 137270308 168992438 171587885 337984876 343175770 422481095 591473533 686351540 844962190 1182947066 1436435723 1689924380 2365894132 2872871446 2957367665 5745742892 5914735330 7182178615 10055050061 11829470660 14364357230 20110100122 28728714460 40220200244 50275250305 100550500610 201101001220