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220111111101020 = 2252310727647161753
BaseRepresentation
bin110010000011000010011100…
…100101101001101001011100
31001212100102020210020022122212
4302003002130211221221130
5212322300023420213040
62100045352024055552
764235334345166436
oct6203023445515134
91055312223208585
10220111111101020
1164152663a280a7
122082b0119045b8
1395a8509009229
143c4d612853656
151a6a8dd847d65
hexc8309c969a5c

220111111101020 has 96 divisors (see below), whose sum is σ = 486858814783488. Its totient is φ = 83425822295552.

The previous prime is 220111111101001. The next prime is 220111111101029. The reversal of 220111111101020 is 20101111111022.

It is a junction number, because it is equal to n+sod(n) for n = 220111111100986 and 220111111101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111111101029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360704464 + ... + 1360866216.

It is an arithmetic number, because the mean of its divisors is an integer number (5071445987328).

Almost surely, 2220111111101020 is an apocalyptic number.

220111111101020 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 220111111101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243429407391744).

220111111101020 is an abundant number, since it is smaller than the sum of its proper divisors (266747703682468).

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

220111111101020 is a wasteful number, since it uses less digits than its factorization.

220111111101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189539 (or 189537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 220111111101020 its reverse (20101111111022), we get a palindrome (240212222212042).

The spelling of 220111111101020 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred eleven million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 428 460 535 1070 2140 2461 4922 9844 12305 24610 27647 49220 55294 110588 138235 161753 276470 323506 552940 635881 647012 808765 1271762 1617530 2543524 2958229 3179405 3235060 3720319 5916458 6358810 7440638 11832916 12717620 14791145 14881276 17307571 18601595 29582290 34615142 37203190 59164580 68039267 69230284 74406380 86537855 136078534 173075710 272157068 340196335 346151420 398074133 680392670 796148266 1360785340 1592296532 1990370665 3980741330 4471985191 7961482660 8943970382 17887940764 22359925955 44719851910 89439703820 102855659393 205711318786 411422637572 478502415437 514278296965 957004830874 1028556593930 1914009661748 2057113187860 2392512077185 4785024154370 9570048308740 11005555555051 22011111110102 44022222220204 55027777775255 110055555550510 220111111101020