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20103202224 = 2432720279839
BaseRepresentation
bin10010101110001111…
…101000010110110000
31220220000201111002100
4102232033220112300
5312132404432344
613122453220400
71311114254010
oct225617502660
956800644070
1020103202224
118586808416
123a90631700
131b84b9cb41
14d89cabc40
157c9d54569
hex4ae3e85b0

20103202224 has 120 divisors (see below), whose sum is σ = 64336596480. Its totient is φ = 5740354944.

The previous prime is 20103202211. The next prime is 20103202241. The reversal of 20103202224 is 42220230102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20103202197 and 20103202206.

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 23 ways as a sum of consecutive naturals, for example, 2038297 + ... + 2048135.

It is an arithmetic number, because the mean of its divisors is an integer number (536138304).

Almost surely, 220103202224 is an apocalyptic number.

20103202224 is a gapful number since it is divisible by the number (24) 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 20103202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32168298240).

20103202224 is an abundant number, since it is smaller than the sum of its proper divisors (44233394256).

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

20103202224 is a wasteful number, since it uses less digits than its factorization.

20103202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20103202224 its reverse (42220230102), we get a palindrome (62323432326).

The spelling of 20103202224 in words is "twenty billion, one hundred three million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2027 4054 6081 8108 9839 12162 14189 16216 18243 19678 24324 28378 29517 32432 36486 39356 42567 48648 56756 59034 68873 72972 78712 85134 88551 97296 113512 118068 127701 137746 145944 157424 170268 177102 206619 227024 236136 255402 275492 291888 340536 354204 413238 472272 510804 550984 619857 681072 708408 826476 1021608 1101968 1239714 1416816 1652952 2043216 2479428 3305904 4958856 9917712 19943653 39887306 59830959 79774612 119661918 139605571 159549224 179492877 239323836 279211142 319098448 358985754 418816713 478647672 558422284 717971508 837633426 957295344 1116844568 1256450139 1435943016 1675266852 2233689136 2512900278 2871886032 3350533704 5025800556 6701067408 10051601112 20103202224