Search a number
-
+
201000220110 = 232510741575021
BaseRepresentation
bin1011101100110010001…
…0111111010111001110
3201012211001101010112200
42323030202333113032
511243122024020420
6232201020142330
720343654452424
oct2731442772716
9635731333480
10201000220110
1178275425398
1232b566979a6
1315c536055b1
149a2ac89114
15536619ab90
hex2ecc8bf5ce

201000220110 has 96 divisors (see below), whose sum is σ = 527716661472. Its totient is φ = 53075777280.

The previous prime is 201000220093. The next prime is 201000220121. The reversal of 201000220110 is 11022000102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000220092 and 201000220101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40029400 + ... + 40034420.

It is an arithmetic number, because the mean of its divisors is an integer number (5497048557).

Almost surely, 2201000220110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263858330736).

201000220110 is an abundant number, since it is smaller than the sum of its proper divisors (326716441362).

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

201000220110 is a wasteful number, since it uses less digits than its factorization.

201000220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9295 counting only the distinct ones).

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

Adding to 201000220110 its reverse (11022000102), we get a palindrome (212022220212).

The spelling of 201000220110 in words is "two hundred one billion, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4157 4815 5021 8314 9630 10042 12471 15063 20785 24942 25105 30126 37413 41570 45189 50210 62355 74826 75315 90378 124710 150630 187065 225945 374130 444799 451890 537247 889598 1074494 1334397 1611741 2223995 2668794 2686235 3223482 4003191 4447990 4835223 5372470 6671985 8006382 8058705 9670446 13343970 16117410 20015955 20872297 24176115 40031910 41744594 48352230 62616891 104361485 125233782 187850673 208722970 313084455 375701346 626168910 939253365 1878506730 2233335779 4466671558 6700007337 11166678895 13400014674 20100022011 22333357790 33500036685 40200044022 67000073370 100500110055 201000220110