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10164314141 = 374147142559
BaseRepresentation
bin10010111011101011…
…10010000000011101
3222020100221122202022
421131311302000131
5131304031023031
64400332305525
7506611146632
oct113565620035
928210848668
1010164314141
114346543723
121b780122a5
13c5ca5b787
146c5cd6189
153e751897b
hex25dd7201d

10164314141 has 16 divisors (see below), whose sum is σ = 10921236480. Its totient is φ = 9443041920.

The previous prime is 10164314137. The next prime is 10164314143. The reversal of 10164314141 is 14141346101.

10164314141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10164314141 - 22 = 10164314137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10164314141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164314143) 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 15 ways as a sum of consecutive naturals, for example, 20 + ... + 142578.

It is an arithmetic number, because the mean of its divisors is an integer number (682577280).

Almost surely, 210164314141 is an apocalyptic number.

It is an amenable number.

10164314141 is a deficient number, since it is larger than the sum of its proper divisors (756922339).

10164314141 is a wasteful number, since it uses less digits than its factorization.

10164314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142684.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 10164314141 in words is "ten billion, one hundred sixty-four million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 37 41 47 1517 1739 1927 71299 142559 5274683 5844919 6700273 216262003 247910101 274711193 10164314141