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10108304241336 = 23337371571150867
BaseRepresentation
bin1001001100011000010111…
…1000100011001010111000
31022210100022002202202122000
42103012011320203022320
52311103301341210321
633255405120501000
72062205126246040
oct223060570431270
938710262682560
1010108304241336
1132479a9248594
12117308277a760
13584294232522
1426d35d012720
15127e18223826
hex93185e232b8

10108304241336 has 256 divisors, whose sum is σ = 33167095065600. Its totient is φ = 2792129812992.

The previous prime is 10108304241323. The next prime is 10108304241349. The reversal of 10108304241336 is 63314240380101.

10108304241336 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 83 + 0 + 4 + 241 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (10108304241323) and next prime (10108304241349).

It is a super-3 number, since 3×101083042413363 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10108304241336.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8207775 + ... + 9358641.

It is an arithmetic number, because the mean of its divisors is an integer number (129558965100).

Almost surely, 210108304241336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10108304241336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16583547532800).

10108304241336 is an abundant number, since it is smaller than the sum of its proper divisors (23058790824264).

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

10108304241336 is a wasteful number, since it uses less digits than its factorization.

10108304241336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151083 (or 1151073 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10108304241336 in words is "ten trillion, one hundred eight billion, three hundred four million, two hundred forty-one thousand, three hundred thirty-six".