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10334322005025 = 3521983449319447
BaseRepresentation
bin1001011001100010010110…
…0101111001010000100001
31100120221200200001210020210
42112120211211321100201
52323304142413130100
633551304425524333
72114426063451354
oct226304545712041
940527620053223
1010334322005025
1133248413a1727
1211aaa3b6436a9
1359c6a38a4635
1427a2806d029b
1512dc458a9c50
hex96625979421

10334322005025 has 96 divisors (see below), whose sum is σ = 18207024675840. Its totient is φ = 5157228545280.

The previous prime is 10334322005023. The next prime is 10334322005093. The reversal of 10334322005025 is 52050022343301.

It is not a de Polignac number, because 10334322005025 - 21 = 10334322005023 is a prime.

It is a super-2 number, since 2×103343220050252 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10334322004983 and 10334322005001.

It is not an unprimeable number, because it can be changed into a prime (10334322005023) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 531399852 + ... + 531419298.

It is an arithmetic number, because the mean of its divisors is an integer number (189656507040).

Almost surely, 210334322005025 is an apocalyptic number.

10334322005025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10334322005025 is a deficient number, since it is larger than the sum of its proper divisors (7872702670815).

10334322005025 is a wasteful number, since it uses less digits than its factorization.

10334322005025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24055 (or 24050 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 10334322005025 its reverse (52050022343301), we get a palindrome (62384344348326).

The spelling of 10334322005025 in words is "ten trillion, three hundred thirty-four billion, three hundred twenty-two million, five thousand, twenty-five".

Divisors: 1 3 5 15 19 25 57 75 83 95 249 285 415 475 1245 1425 1577 2075 4493 4731 6225 7885 13479 19447 22465 23655 39425 58341 67395 85367 97235 112325 118275 256101 291705 336975 369493 372919 426835 486175 1108479 1118757 1280505 1458525 1614101 1847465 1864595 2134175 4842303 5542395 5593785 6402525 7085461 8070505 9237325 9322975 21256383 24211515 27711975 27968925 30667919 35427305 40352525 87375371 92003757 106281915 121057575 153339595 177136525 262126113 436876855 460018785 531409575 766697975 1310630565 1660132049 2184384275 2300093925 4980396147 6553152825 7252155793 8300660245 21756467379 24901980735 36260778965 41503301225 108782336895 124509903675 137790960067 181303894825 413372880201 543911684475 688954800335 2066864401005 3444774001675 10334322005025