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10103639373 = 329749115153
BaseRepresentation
bin10010110100011100…
…10100110101001101
3222002010210001121200
421122032110311031
5131143012424443
64350324020113
7505243342362
oct113216246515
928063701550
1010103639373
114315271893
121b5b831639
13c50306649
146bbc20469
153e2030dd3
hex25a394d4d

10103639373 has 12 divisors (see below), whose sum is σ = 14595769500. Its totient is φ = 6735010176.

The previous prime is 10103639363. The next prime is 10103639383. The reversal of 10103639373 is 37393630101.

10103639373 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 639 + 3 + 7 + 3 = 666.

10103639373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10103639363) and next prime (10103639383).

It can be written as a sum of positive squares in 2 ways, for example, as 4400066889 + 5703572484 = 66333^2 + 75522^2 .

It is a de Polignac number, because none of the positive numbers 2k-10103639373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103639363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30165 + ... + 145317.

It is an arithmetic number, because the mean of its divisors is an integer number (1216314125).

Almost surely, 210103639373 is an apocalyptic number.

It is an amenable number.

10103639373 is a deficient number, since it is larger than the sum of its proper divisors (4492130127).

10103639373 is a wasteful number, since it uses less digits than its factorization.

10103639373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124908 (or 124905 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The spelling of 10103639373 in words is "ten billion, one hundred three million, six hundred thirty-nine thousand, three hundred seventy-three".

Divisors: 1 3 9 9749 29247 87741 115153 345459 1036377 1122626597 3367879791 10103639373