Search a number
-
+
201020021100 = 2232521571422647
BaseRepresentation
bin1011101100110110111…
…0100001100101101100
3201012212102122010101200
42323031232201211230
511243142111133400
6232203004405500
720344314662313
oct2731556414554
9635772563350
10201020021100
117828561a148
1232b61246890
1315c57749262
149a2d76127a
155367cacb00
hex2ecdba196c

201020021100 has 108 divisors (see below), whose sum is σ = 634099821264. Its totient is φ = 53263866240.

The previous prime is 201020021089. The next prime is 201020021101. The reversal of 201020021100 is 1120020102.

201020021100 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 (9).

It is not an unprimeable number, because it can be changed into a prime (201020021101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570024 + ... + 852623.

Almost surely, 2201020021100 is an apocalyptic number.

201020021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020021100 is an abundant number, since it is smaller than the sum of its proper divisors (433079800164).

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

201020021100 is a wasteful number, since it uses less digits than its factorization.

201020021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422824 (or 1422814 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201020021100 its reverse (1120020102), we get a palindrome (202140041202).

The spelling of 201020021100 in words is "two hundred one billion, twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 157 180 225 300 314 450 471 628 785 900 942 1413 1570 1884 2355 2826 3140 3925 4710 5652 7065 7850 9420 11775 14130 15700 23550 28260 35325 47100 70650 141300 1422647 2845294 4267941 5690588 7113235 8535882 12803823 14226470 17071764 21339705 25607646 28452940 35566175 42679410 51215292 64019115 71132350 85358820 106698525 128038230 142264700 213397050 223355579 256076460 320095575 426794100 446711158 640191150 670066737 893422316 1116777895 1280382300 1340133474 2010200211 2233555790 2680266948 3350333685 4020400422 4467111580 5583889475 6700667370 8040800844 10051001055 11167778950 13401334740 16751668425 20102002110 22335557900 33503336850 40204004220 50255005275 67006673700 100510010550 201020021100