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20242201100 = 225211233832089
BaseRepresentation
bin10010110110100001…
…110111101000001100
31221020201021100200212
4102312201313220030
5312424000413400
613144340341552
71314422604362
oct226641675014
957221240625
1020242201100
118648216320
123b0b0a48b8
131ba79195b4
14da0531632
157d715e335
hex4b6877a0c

20242201100 has 144 divisors (see below), whose sum is σ = 50156789760. Its totient is φ = 7019020800.

The previous prime is 20242201093. The next prime is 20242201159. The reversal of 20242201100 is 110224202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9688856 + ... + 9690944.

It is an arithmetic number, because the mean of its divisors is an integer number (348311040).

Almost surely, 220242201100 is an apocalyptic number.

20242201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20242201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25078394880).

20242201100 is an abundant number, since it is smaller than the sum of its proper divisors (29914588660).

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

20242201100 is a wasteful number, since it uses less digits than its factorization.

20242201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2513 counting only the distinct ones).

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

Adding to 20242201100 its reverse (110224202), we get a palindrome (20352425302).

The spelling of 20242201100 in words is "twenty billion, two hundred forty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 383 460 506 550 575 766 1012 1100 1150 1265 1532 1915 2089 2300 2530 3830 4178 4213 5060 6325 7660 8356 8426 8809 9575 10445 12650 16852 17618 19150 20890 21065 22979 25300 35236 38300 41780 42130 44045 45958 48047 52225 84260 88090 91916 96094 96899 104450 105325 114895 176180 192188 193798 208900 210650 220225 229790 240235 387596 421300 440450 459580 480470 484495 528517 574475 800087 880900 960940 968990 1057034 1148950 1201175 1600174 1937980 2114068 2297900 2402350 2422475 2642585 3200348 4000435 4804700 4844950 5285170 8000870 8800957 9689900 10570340 13212925 16001740 17601914 18402001 20002175 26425850 35203828 36804002 40004350 44004785 52851700 73608004 80008700 88009570 92010005 176019140 184020010 202422011 220023925 368040020 404844022 440047850 460050025 809688044 880095700 920100050 1012110055 1840200100 2024220110 4048440220 5060550275 10121100550 20242201100