Search a number
-
+
220020020011120 = 245710911633099331
BaseRepresentation
bin110010000001101101100111…
…001000101110000001110000
31001212000201010111021111120111
4302001231213020232001300
5212314302000110323440
62055535445105551104
764225631126536660
oct6201554710560160
91055021114244514
10220020020011120
1164117a6a42801a
122081542b645494
13959ca50135a34
143c49050a961a0
151a6835b7e54ea
hexc81b6722e070

220020020011120 has 160 divisors (see below), whose sum is σ = 590495642288640. Its totient is φ = 74679075394560.

The previous prime is 220020020011081. The next prime is 220020020011159. The reversal of 220020020011120 is 21110020020022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220020020011081) and next prime (220020020011159).

It is a self number, because there is not a number n which added to its sum of digits gives 220020020011120.

It is a congruent number.

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, 69439855 + ... + 72539185.

It is an arithmetic number, because the mean of its divisors is an integer number (3690597764304).

Almost surely, 2220020020011120 is an apocalyptic number.

220020020011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220020020011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295247821144320).

220020020011120 is an abundant number, since it is smaller than the sum of its proper divisors (370475622277520).

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

220020020011120 is a wasteful number, since it uses less digits than its factorization.

220020020011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100623 (or 3100617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220020020011120 its reverse (21110020020022), we get a palindrome (241130040031142).

The spelling of 220020020011120 in words is "two hundred twenty trillion, twenty billion, twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 436 545 560 763 872 1090 1163 1526 1744 2180 2326 3052 3815 4360 4652 5815 6104 7630 8141 8720 9304 11630 12208 15260 16282 18608 23260 30520 32564 40705 46520 61040 65128 81410 93040 126767 130256 162820 253534 325640 507068 633835 651280 887369 1014136 1267670 1774738 2028272 2535340 3099331 3549476 4436845 5070680 6198662 7098952 8873690 10141360 12397324 14197904 15496655 17747380 21695317 24794648 30993310 35494760 43390634 49589296 61986620 70989520 86781268 108476585 123973240 173562536 216953170 247946480 337827079 347125072 433906340 675654158 867812680 1351308316 1689135395 1735625360 2364789553 2702616632 3378270790 3604521953 4729579106 5405233264 6756541580 7209043906 9459158212 11823947765 13513083160 14418087812 18022609765 18918316424 23647895530 25231653671 27026166320 28836175624 36045219530 37836632848 47295791060 50463307342 57672351248 72090439060 94591582120 100926614684 126158268355 144180878120 189183164240 201853229368 252316536710 288361756240 392892892877 403706458736 504633073420 785785785754 1009266146840 1571571571508 1964464464385 2018532293680 2750250250139 3143143143016 3928928928770 5500500500278 6286286286032 7857857857540 11001001000556 13751251250695 15715715715080 22002002001112 27502502501390 31431431430160 44004004002224 55005005002780 110010010005560 220020020011120