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201020021122110 = 2351719167124222157
BaseRepresentation
bin101101101101001110011110…
…111100111010010000111110
3222100202022210220022212101120
4231231032132330322100332
5202322003000401401420
61551311153422051410
760225134342642121
oct5555163674722076
9870668726285346
10201020021122110
1159062126384653
121a66703a419b66
138822150419428
14378d5c70903b8
151838ed3344d40
hexb6d39ef3a43e

201020021122110 has 128 divisors (see below), whose sum is σ = 540932840340480. Its totient is φ = 47510502672384.

The previous prime is 201020021122051. The next prime is 201020021122111. The reversal of 201020021122110 is 11221120020102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201020021122110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020021122111) by changing a digit.

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, 60492849 + ... + 63729308.

It is an arithmetic number, because the mean of its divisors is an integer number (4226037815160).

Almost surely, 2201020021122110 is an apocalyptic number.

201020021122110 is an abundant number, since it is smaller than the sum of its proper divisors (339912819218370).

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

201020021122110 is a wasteful number, since it uses less digits than its factorization.

201020021122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124222370.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201020021122110 its reverse (11221120020102), we get a palindrome (212241141142212).

The spelling of 201020021122110 in words is "two hundred one trillion, twenty billion, twenty-one million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 167 170 190 255 285 323 334 501 510 570 646 835 969 1002 1615 1670 1938 2505 2839 3173 3230 4845 5010 5678 6346 8517 9519 9690 14195 15865 17034 19038 28390 31730 42585 47595 53941 85170 95190 107882 161823 269705 323646 539410 809115 1618230 124222157 248444314 372666471 621110785 745332942 1242221570 1863332355 2111776669 2360220983 3726664710 4223553338 4720441966 6335330007 7080662949 10558883345 11801104915 12670660014 14161325898 20745100219 21117766690 23602209830 31676650035 35403314745 40123756711 41490200438 62235300657 63353300070 70806629490 80247513422 103725501095 120371270133 124470601314 200618783555 207451002190 240742540266 311176503285 352666703723 394156904161 401237567110 601856350665 622353006570 705333407446 788313808322 1058000111169 1182470712483 1203712701330 1763333518615 1970784520805 2116000222338 2364941424966 3526667037230 3941569041610 5290000555845 5912353562415 6700667370737 10580001111690 11824707124830 13401334741474 20102002112211 33503336853685 40204004224422 67006673707370 100510010561055 201020021122110