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10319601141 = 321146622349
BaseRepresentation
bin10011001110001100…
…01001110111110101
3222122012011001110200
421213012021313311
5132113304214031
64424000511113
7513505106463
oct114706116765
928565131420
1010319601141
114416167093
12200001b499
13c85c8bc85
146dc799833
15405e8e8e6
hex267189df5

10319601141 has 6 divisors (see below), whose sum is σ = 14906090550. Its totient is φ = 6879734088.

The previous prime is 10319601133. The next prime is 10319601161. The reversal of 10319601141 is 14110691301.

10319601141 is a `hidden beast` number, since 1 + 0 + 3 + 19 + 601 + 1 + 41 = 666.

10319601141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10210294116 + 109307025 = 101046^2 + 10455^2 .

It is not a de Polignac number, because 10319601141 - 23 = 10319601133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10319601161) 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 5 ways as a sum of consecutive naturals, for example, 573311166 + ... + 573311183.

It is an arithmetic number, because the mean of its divisors is an integer number (2484348425).

Almost surely, 210319601141 is an apocalyptic number.

It is an amenable number.

10319601141 is a deficient number, since it is larger than the sum of its proper divisors (4586489409).

10319601141 is a wasteful number, since it uses less digits than its factorization.

10319601141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146622355 (or 1146622352 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10319601141 in words is "ten billion, three hundred nineteen million, six hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 1146622349 3439867047 10319601141