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220102101100220 = 225174871329279509
BaseRepresentation
bin110010000010111010000011…
…100011001110011010111100
31001212022112222212022212010112
4302002322003203032122330
5212322123100340201340
62100041302004325152
764234565151353513
oct6202720343163274
91055275885285115
10220102101100220
1164149860026149
12208293183a37b8
1395a7701466c01
143c4cdd9d9767a
151a6a562843065
hexc82e838ce6bc

220102101100220 has 48 divisors (see below), whose sum is σ = 490408431065280. Its totient is φ = 82691819633664.

The previous prime is 220102101100213. The next prime is 220102101100223. The reversal of 220102101100220 is 22001101201022.

It is a super-2 number, since 2×2201021011002202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220102101100195 and 220102101100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220102101100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664474175 + ... + 664805334.

It is an arithmetic number, because the mean of its divisors is an integer number (10216842313860).

Almost surely, 2220102101100220 is an apocalyptic number.

220102101100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102101100220 is an abundant number, since it is smaller than the sum of its proper divisors (270306329965060).

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

220102101100220 is a wasteful number, since it uses less digits than its factorization.

220102101100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329280022 (or 1329280020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220102101100220 its reverse (22001101201022), we get a palindrome (242103202301242).

The spelling of 220102101100220 in words is "two hundred twenty trillion, one hundred two billion, one hundred one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 487 974 1948 2435 4870 8279 9740 16558 33116 41395 82790 165580 1329279509 2658559018 5317118036 6646397545 13292795090 22597751653 26585590180 45195503306 90391006612 112988758265 225977516530 451955033060 647359120883 1294718241766 2589436483532 3236795604415 6473591208830 11005105055011 12947182417660 22010210110022 44020420220044 55025525275055 110051050550110 220102101100220