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220102222120 = 235111926328017
BaseRepresentation
bin1100110011111100011…
…1010110000100101000
3210001010022011101010121
43030333013112010220
512101232132101440
6245040310253024
721621224006404
oct3147707260450
9701108141117
10220102222120
1185387a6a210
12367a7957174
13179a8c37b71
14a91dbb6104
155ad318334a
hex333f1d6128

220102222120 has 64 divisors (see below), whose sum is σ = 568685188800. Its totient is φ = 75824686080.

The previous prime is 220102222117. The next prime is 220102222133. The reversal of 220102222120 is 21222201022.

220102222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220102222094 and 220102222103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13155649 + ... + 13172368.

It is an arithmetic number, because the mean of its divisors is an integer number (8885706075).

Almost surely, 2220102222120 is an apocalyptic number.

220102222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102222120 is an abundant number, since it is smaller than the sum of its proper divisors (348582966680).

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

220102222120 is a wasteful number, since it uses less digits than its factorization.

220102222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26328058 (or 26328054 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220102222120 its reverse (21222201022), we get a palindrome (241324423142).

The spelling of 220102222120 in words is "two hundred twenty billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 26328017 52656034 105312068 131640085 210624136 263280170 289608187 500232323 526560340 579216374 1000464646 1053120680 1158432748 1448040935 2000929292 2316865496 2501161615 2896081870 4001858584 5002323230 5502555553 5792163740 10004646460 11005111106 11584327480 20009292920 22010222212 27512777765 44020444424 55025555530 110051111060 220102222120