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201111011002110 = 2351131145931347149
BaseRepresentation
bin101101101110100011001110…
…010111110000011011111110
3222101002000200010211200121010
4231232203032113300123332
5202330000322304031420
61551421042323020050
760234535222110156
oct5556431627603376
9871060603750533
10201111011002110
1159097778837190
121a6807b280a626
13882a8c1344501
143793b79623766
15183b55b5544e0
hexb6e8ce5f06fe

201111011002110 has 128 divisors (see below), whose sum is σ = 543568170700800. Its totient is φ = 47178200678400.

The previous prime is 201111011002051. The next prime is 201111011002123. The reversal of 201111011002110 is 11200110111102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148612816 + ... + 149959964.

It is an arithmetic number, because the mean of its divisors is an integer number (4246626333600).

Almost surely, 2201111011002110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201111011002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271784085350400).

201111011002110 is an abundant number, since it is smaller than the sum of its proper divisors (342457159698690).

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

201111011002110 is a wasteful number, since it uses less digits than its factorization.

201111011002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361794.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201111011002110 its reverse (11200110111102), we get a palindrome (212311121113212).

The spelling of 201111011002110 in words is "two hundred one trillion, one hundred eleven billion, eleven million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 14593 29186 43779 72965 87558 145930 160523 218895 321046 437790 452383 481569 802615 904766 963138 1347149 1357149 1605230 2261915 2407845 2694298 2714298 4041447 4523830 4815690 4976213 6735745 6785745 8082894 9952426 13471490 13571490 14818639 14928639 20207235 24881065 29637278 29857278 40414470 41761619 44455917 49762130 74093195 74643195 83523238 88911834 125284857 148186390 149286390 208808095 222279585 250569714 417616190 444559170 459377809 626424285 918755618 1252848570 1378133427 2296889045 2756266854 4593778090 6890667135 13781334270 19658945357 39317890714 58976836071 98294726785 117953672142 196589453570 216248398927 294884180355 432496797854 589768360710 609427306067 648745196781 1081241994635 1218854612134 1297490393562 1828281918201 2162483989270 3047136530335 3243725983905 3656563836402 6094273060670 6487451967810 6703700366737 9141409591005 13407400733474 18282819182010 20111101100211 33518501833685 40222202200422 67037003667370 100555505501055 201111011002110