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20242411021100 = 22527910136769127
BaseRepresentation
bin1001001101001000011011…
…01101111110001100101100
32122200011012102120021211102
410212210031231332030230
510123122424210133400
6111015122451342232
74156315546504502
oct446441555761454
978604172507742
1020242411021100
1164a48383370a4
12232b1465b1978
13b3ab0b02c668
144dda48bd8672
152518417e39d5
hex12690db7e32c

20242411021100 has 144 divisors (see below), whose sum is σ = 45045530234880. Its totient is φ = 7893636192000.

The previous prime is 20242411021099. The next prime is 20242411021103. The reversal of 20242411021100 is 112011424202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20242411021103) 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 47 ways as a sum of consecutive naturals, for example, 292794737 + ... + 292863863.

Almost surely, 220242411021100 is an apocalyptic number.

20242411021100 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 20242411021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522765117440).

20242411021100 is an abundant number, since it is smaller than the sum of its proper divisors (24803119213780).

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

20242411021100 is a wasteful number, since it uses less digits than its factorization.

20242411021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69688 (or 69681 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20242411021100 its reverse (112011424202), we get a palindrome (20354422445302).

The spelling of 20242411021100 in words is "twenty trillion, two hundred forty-two billion, four hundred eleven million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 101 158 202 316 367 395 404 505 734 790 1010 1468 1580 1835 1975 2020 2525 3670 3950 5050 7340 7900 7979 9175 10100 15958 18350 28993 31916 36700 37067 39895 57986 69127 74134 79790 115972 138254 144965 148268 159580 185335 199475 276508 289930 345635 370670 398950 579860 691270 724825 741340 797900 926675 1382540 1449650 1728175 1853350 2899300 2928293 3456350 3706700 5461033 5856586 6912700 6981827 10922066 11713172 13963654 14641465 21844132 25369609 27305165 27927308 29282930 34909135 50739218 54610330 58565860 69818270 73207325 101478436 109220660 126848045 136525825 139636540 146414650 174545675 253696090 273051650 292829300 349091350 507392180 546103300 551564333 634240225 698182700 1103128666 1268480450 2004199111 2206257332 2536960900 2562330509 2757821665 4008398222 5124661018 5515643330 8016796444 10020995555 10249322036 11031286660 12811652545 13789108325 20041991110 25623305090 27578216650 40083982220 50104977775 51246610180 55156433300 64058262725 100209955550 128116525450 200419911100 202424110211 256233050900 404848220422 809696440844 1012120551055 2024241102110 4048482204220 5060602755275 10121205510550 20242411021100