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220212220100 = 225218112166421
BaseRepresentation
bin1100110100010110101…
…0111101000011000100
3210001101222010211222212
43031011222331003010
512101443312020400
6245055240042552
721624030662255
oct3150552750304
9701358124885
10220212220100
118543406a334
1236818763458
13179c596c322
14a93064ab2c
155adcb60335
hex3345abd0c4

220212220100 has 36 divisors (see below), whose sum is σ = 480500670468. Its totient is φ = 87598224000.

The previous prime is 220212220079. The next prime is 220212220181. The reversal of 220212220100 is 1022212022.

It can be written as a sum of positive squares in 6 ways, for example, as 94363238596 + 125848981504 = 307186^2 + 354752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6065111 + ... + 6101310.

Almost surely, 2220212220100 is an apocalyptic number.

220212220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212220100 is an abundant number, since it is smaller than the sum of its proper divisors (260288450368).

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

220212220100 is a wasteful number, since it uses less digits than its factorization.

220212220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12166616 (or 12166609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220212220100 its reverse (1022212022), we get a palindrome (221234432122).

It can be divided in two parts, 2202122 and 20100, that added together give a palindrome (2222222).

The spelling of 220212220100 in words is "two hundred twenty billion, two hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 12166421 24332842 48665684 60832105 121664210 243328420 304160525 608321050 1216642100 2202122201 4404244402 8808488804 11010611005 22021222010 44042444020 55053055025 110106110050 220212220100