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10108847241 = 3217121354469
BaseRepresentation
bin10010110101000100…
…01100010010001001
3222002111120122110200
421122202030102021
5131200331102431
64351031402413
7505335532563
oct113242142211
928074518420
1010108847241
1143181a9609
121b61523409
13c5140ac1c
146bc7b8333
153e270dee6
hex25a88c489

10108847241 has 24 divisors (see below), whose sum is σ = 15473619720. Its totient is φ = 6337460736.

The previous prime is 10108847201. The next prime is 10108847261. The reversal of 10108847241 is 14274880101.

10108847241 is a `hidden beast` number, since 101 + 0 + 88 + 472 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1343955600 + 8764891641 = 36660^2 + 93621^2 .

It is not a de Polignac number, because 10108847241 - 27 = 10108847113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10108847196 and 10108847205.

It is not an unprimeable number, because it can be changed into a prime (10108847201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158355 + ... + 212823.

It is an arithmetic number, because the mean of its divisors is an integer number (644734155).

Almost surely, 210108847241 is an apocalyptic number.

It is an amenable number.

10108847241 is a deficient number, since it is larger than the sum of its proper divisors (5364772479).

10108847241 is a wasteful number, since it uses less digits than its factorization.

10108847241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55705 (or 55702 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 10108847241 in words is "ten billion, one hundred eight million, eight hundred forty-seven thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 1213 3639 10917 20621 54469 61863 163407 185589 490221 925973 2777919 8333757 66070897 198212691 594638073 1123205249 3369615747 10108847241