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11202310420 = 22572711311229
BaseRepresentation
bin10100110111011010…
…11011000100010100
31001220201010022221221
422123231123010110
5140420242413140
65051332220124
7544414032100
oct123355330424
931821108857
1011202310420
114829459694
12220776a644
131096b10462
14783ad4900
1545870314a
hex29bb5b114

11202310420 has 144 divisors (see below), whose sum is σ = 27985668480. Its totient is φ = 3754732800.

The previous prime is 11202310417. The next prime is 11202310433. The reversal of 11202310420 is 2401320211.

11202310420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11202310394 and 11202310403.

It is a congruent number.

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, 9114366 + ... + 9115594.

It is an arithmetic number, because the mean of its divisors is an integer number (194344920).

Almost surely, 211202310420 is an apocalyptic number.

11202310420 is a gapful number since it is divisible by the number (10) 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 11202310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992834240).

11202310420 is an abundant number, since it is smaller than the sum of its proper divisors (16783358060).

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

11202310420 is a wasteful number, since it uses less digits than its factorization.

11202310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11202310420 its reverse (2401320211), we get a palindrome (13603630631).

The spelling of 11202310420 in words is "eleven billion, two hundred two million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 131 140 142 196 245 262 284 355 490 497 524 655 710 917 980 994 1229 1310 1420 1834 1988 2458 2485 2620 3479 3668 4585 4916 4970 6145 6419 6958 8603 9170 9301 9940 12290 12838 13916 17206 17395 18340 18602 24580 25676 32095 34412 34790 37204 43015 46505 60221 64190 65107 69580 86030 87259 93010 120442 128380 130214 160999 172060 174518 186020 240884 260428 301105 321998 325535 349036 436295 455749 602210 610813 643996 651070 804995 872590 911498 1126993 1204420 1221626 1302140 1609990 1745180 1822996 2253986 2278745 2443252 3054065 3219980 4275691 4507972 4557490 5634965 6108130 7888951 8551382 9114980 11269930 11430929 12216260 15777902 17102764 21378455 22539860 22861858 31555804 39444755 42756910 45723716 57154645 78889510 80016503 85513820 114309290 157779020 160033006 228618580 320066012 400082515 560115521 800165030 1120231042 1600330060 2240462084 2800577605 5601155210 11202310420