Search a number
-
+
212111020110220 = 225751157365443
BaseRepresentation
bin110000001110100111110010…
…000000011011000110001100
31000211000121121200122002212221
4300032213302000123012030
5210300211332122011340
62031042242445505124
762451341545600000
oct6016476200330614
91024017550562787
10212111020110220
1161648862147160
121b9586535721a4
139147ca260717a
143a5432a08a700
15197c76390c44a
hexc0e9f201b18c

212111020110220 has 144 divisors (see below), whose sum is σ = 566910099479808. Its totient is φ = 66112524596160.

The previous prime is 212111020110217. The next prime is 212111020110239. The reversal of 212111020110220 is 22011020111212.

It is a junction number, because it is equal to n+sod(n) for n = 212111020110194 and 212111020110203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24985182 + ... + 32380261.

It is an arithmetic number, because the mean of its divisors is an integer number (3936875690832).

Almost surely, 2212111020110220 is an apocalyptic number.

212111020110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111020110220 is an abundant number, since it is smaller than the sum of its proper divisors (354799079369588).

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

212111020110220 is an equidigital number, since it uses as much as digits as its factorization.

212111020110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57365498 (or 57365468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212111020110220 its reverse (22011020111212), we get a palindrome (234122040221432).

The spelling of 212111020110220 in words is "two hundred twelve trillion, one hundred eleven billion, twenty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 2156 2401 2695 3430 3773 4802 5390 6860 7546 9604 10780 12005 15092 16807 18865 24010 26411 33614 37730 48020 52822 67228 75460 84035 105644 132055 168070 184877 264110 336140 369754 528220 739508 924385 1848770 3697540 57365443 114730886 229461772 286827215 401558101 573654430 631019873 803116202 1147308860 1262039746 1606232404 2007790505 2524079492 2810906707 3155099365 4015581010 4417139111 5621813414 6310198730 8031162020 8834278222 11243626828 12620397460 14054533535 17668556444 19676346949 22085695555 28109067070 30919973777 39352693898 44171391110 56218134140 61839947554 78705387796 88342782220 98381734745 123679895108 137734428643 154599868885 196763469490 216439816439 275468857286 309199737770 393526938980 432879632878 550937714572 618399475540 688672143215 865759265756 964141000501 1082199082195 1377344286430 1515078715073 1928282001002 2164398164390 2754688572860 3030157430146 3856564002004 4328796328780 4820705002505 6060314860292 7575393575365 9641410005010 10605551005511 15150787150730 19282820010020 21211102011022 30301574301460 42422204022044 53027755027555 106055510055110 212111020110220