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220210131100 = 225219157738217
BaseRepresentation
bin1100110100010110001…
…0111111000010011100
3210001101211012201102111
43031011202333002130
512101442243143400
6245055123203404
721624004142011
oct3150542770234
9701354181374
10220210131100
1185432972893
1236817b16564
13179c53ba52b
14a930265708
155adc89b3ba
hex33458bf09c

220210131100 has 72 divisors (see below), whose sum is σ = 506210846960. Its totient is φ = 82916421120.

The previous prime is 220210131079. The next prime is 220210131131. The reversal of 220210131100 is 1131012022.

220210131100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 70809 + ... + 667408.

Almost surely, 2220210131100 is an apocalyptic number.

220210131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220210131100 is an abundant number, since it is smaller than the sum of its proper divisors (286000715860).

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

220210131100 is a wasteful number, since it uses less digits than its factorization.

220210131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738407 (or 738400 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 220210131100 its reverse (1131012022), we get a palindrome (221341143122).

The spelling of 220210131100 in words is "two hundred twenty billion, two hundred ten million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 157 190 314 380 475 628 785 950 1570 1900 2983 3140 3925 5966 7850 11932 14915 15700 29830 59660 74575 149150 298300 738217 1476434 2952868 3691085 7382170 14026123 14764340 18455425 28052246 36910850 56104492 70130615 73821700 115900069 140261230 231800138 280522460 350653075 463600276 579500345 701306150 1159000690 1402612300 2202101311 2318001380 2897501725 4404202622 5795003450 8808405244 11010506555 11590006900 22021013110 44042026220 55052532775 110105065550 220210131100