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220242442100 = 225217312730777
BaseRepresentation
bin1100110100011101111…
…0001111011101110100
3210001111002000021210012
43031013132033131310
512102024031121400
6245102235515352
721624545604122
oct3150736173564
9701432007705
10220242442100
118544a13159a
12368268b8b58
13179cbcc1375
14a934676912
155ae062ed35
hex334778f774

220242442100 has 36 divisors (see below), whose sum is σ = 480688715724. Its totient is φ = 87587738880.

The previous prime is 220242442099. The next prime is 220242442153. The reversal of 220242442100 is 1244242022.

It can be written as a sum of positive squares in 6 ways, for example, as 6506358244 + 213736083856 = 80662^2 + 462316^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6348089 + ... + 6382688.

Almost surely, 2220242442100 is an apocalyptic number.

220242442100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220242442100 is an abundant number, since it is smaller than the sum of its proper divisors (260446273624).

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

220242442100 is a wasteful number, since it uses less digits than its factorization.

220242442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730964 (or 12730957 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 220242442100 its reverse (1244242022), we get a palindrome (221486684122).

The spelling of 220242442100 in words is "two hundred twenty billion, two hundred forty-two million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 12730777 25461554 50923108 63653885 127307770 254615540 318269425 636538850 1273077700 2202424421 4404848842 8809697684 11012122105 22024244210 44048488420 55060610525 110121221050 220242442100