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201221330122110 = 235231361541939541
BaseRepresentation
bin101101110000001001111101…
…111001110011010101111110
3222101110120102110201122022110
4231300021331321303111332
5202333302241002401420
61551543445232354450
760245522100132504
oct5560117571632576
9871416373648273
10201221330122110
115912a53a02a931
121a69a0603a5a26
1388381229a4bcc
143799242d56674
15183e366685ee0
hexb7027de7357e

201221330122110 has 128 divisors (see below), whose sum is σ = 504404281175040. Its totient is φ = 51277547059200.

The previous prime is 201221330122103. The next prime is 201221330122157. The reversal of 201221330122110 is 11221033122102.

It is a super-2 number, since 2×2012213301221102 (a number of 29 digits) contains 22 as substring.

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, 5088908940 + ... + 5088948480.

It is an arithmetic number, because the mean of its divisors is an integer number (3940658446680).

Almost surely, 2201221330122110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201221330122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252202140587520).

201221330122110 is an abundant number, since it is smaller than the sum of its proper divisors (303182951052930).

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

201221330122110 is a wasteful number, since it uses less digits than its factorization.

201221330122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46354.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201221330122110 its reverse (11221033122102), we get a palindrome (212442363244212).

The spelling of 201221330122110 in words is "two hundred one trillion, two hundred twenty-one billion, three hundred thirty million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1361 2722 4083 5419 6805 8166 10838 13610 16257 20415 27095 31303 32514 39541 40830 54190 62606 79082 81285 93909 118623 124637 156515 162570 187818 197705 237246 249274 313030 373911 395410 469545 593115 623185 747822 909443 939090 1186230 1246370 1818886 1869555 2728329 3739110 4547215 5456658 7375259 9094430 13641645 14750518 22125777 27283290 36876295 44251554 53815301 73752590 107630602 110628885 161445903 169630957 214272679 221257770 269076505 322891806 339261914 428545358 508892871 538153010 642818037 807229515 848154785 1017785742 1071363395 1237751923 1285636074 1614459030 1696309570 2142726790 2475503846 2544464355 3214090185 3713255769 4928271617 5088928710 6188759615 6428180370 7426511538 9856543234 12377519230 14784814851 18566278845 24641358085 29569629702 37132557690 49282716170 73924074255 147848148510 291625116119 583250232238 874875348357 1458125580595 1749750696714 2916251161190 4374376741785 6707377670737 8748753483570 13414755341474 20122133012211 33536888353685 40244266024422 67073776707370 100610665061055 201221330122110