Search a number
-
+
220121202222020 = 2251117187331423351
BaseRepresentation
bin110010000011001011110110…
…000100001110001111000100
31001212101101022001110101022002
4302003023312010032033010
5212322431210232101040
62100054141223524432
764236142410253331
oct6203136604161704
91055341261411262
10220121202222020
1164156972119720
1220830b692b9718
1395a945684b948
143c4dcccb35988
151a6acce704a15
hexc832f610e3c4

220121202222020 has 96 divisors (see below), whose sum is σ = 534226144870656. Its totient is φ = 75295374336000.

The previous prime is 220121202222011. The next prime is 220121202222073. The reversal of 220121202222020 is 20222202121022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220121202221983 and 220121202222001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8706656 + ... + 22716695.

It is an arithmetic number, because the mean of its divisors is an integer number (5564855675736).

Almost surely, 2220121202222020 is an apocalyptic number.

220121202222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121202222020 is an abundant number, since it is smaller than the sum of its proper divisors (314104942648636).

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

220121202222020 is a wasteful number, since it uses less digits than its factorization.

220121202222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425261 (or 31425259 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220121202222020 its reverse (20222202121022), we get a palindrome (240343404343042).

The spelling of 220121202222020 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 1873 3740 3746 7492 9365 18730 20603 31841 37460 41206 63682 82412 103015 127364 159205 206030 318410 350251 412060 636820 700502 1401004 1751255 3502510 7005020 31423351 62846702 125693404 157116755 314233510 345656861 534196967 628467020 691313722 1068393934 1382627444 1728284305 2136787868 2670984835 3456568610 5341969670 5876166637 6913137220 10683939340 11752333274 23504666548 29380833185 58761666370 58855936423 117523332740 117711872846 235423745692 294279682115 588559364230 647415300653 1000550919191 1177118728460 1294830601306 2001101838382 2589661202612 3237076503265 4002203676764 5002754595955 6474153006530 10005509191910 11006060111101 12948306013060 20011018383820 22012120222202 44024240444404 55030300555505 110060601111010 220121202222020