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10070513322240 = 2835719191103237
BaseRepresentation
bin1001001010001011100101…
…0111101000100100000000
31022122201202101111011102210
42102202321113220210000
52304443402402302430
633230155134142120
72056366464605250
oct222427127504400
938581671434383
1010070513322240
113232976261748
121167896651940
13580850a40a37
1426b5b5da7960
15126e5564e2b0
hex928b95e8900

10070513322240 has 576 divisors, whose sum is σ = 38894924759040. Its totient is φ = 2169244385280.

The previous prime is 10070513322239. The next prime is 10070513322329. The reversal of 10070513322240 is 4222331507001.

It is a super-3 number, since 3×100705133222403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10070513322198 and 10070513322207.

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 63 ways as a sum of consecutive naturals, for example, 97495902 + ... + 97599138.

It is an arithmetic number, because the mean of its divisors is an integer number (67525911040).

Almost surely, 210070513322240 is an apocalyptic number.

10070513322240 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 10070513322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19447462379520).

10070513322240 is an abundant number, since it is smaller than the sum of its proper divisors (28824411436800).

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

10070513322240 is a wasteful number, since it uses less digits than its factorization.

10070513322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103478 (or 103464 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 10070513322240 its reverse (4222331507001), we get a palindrome (14292844829241).

The spelling of 10070513322240 in words is "ten trillion, seventy billion, five hundred thirteen million, three hundred twenty-two thousand, two hundred forty".