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125250042141 = 32721564918149
BaseRepresentation
bin111010010100101111…
…0111111100100011101
3102222021220001101101200
41310221132333210131
54023003002322031
6133312235030113
712022545535500
oct1645136774435
9388256041350
10125250042141
1149133424524
1220335b9b339
13ba70aa1893
1460c26d5137
1533d0d4d8e6
hex1d297bf91d

125250042141 has 36 divisors (see below), whose sum is σ = 210479197500. Its totient is φ = 71562935808.

The previous prime is 125250042121. The next prime is 125250042143. The reversal of 125250042141 is 141240052521.

It is a happy number.

125250042141 is a `hidden beast` number, since 12 + 5 + 2 + 500 + 4 + 2 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28012716900 + 97237325241 = 167370^2 + 311829^2 .

It is not a de Polignac number, because 125250042141 - 27 = 125250042013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125250042143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6892135 + ... + 6910283.

It is an arithmetic number, because the mean of its divisors is an integer number (5846644375).

Almost surely, 2125250042141 is an apocalyptic number.

It is an amenable number.

125250042141 is a deficient number, since it is larger than the sum of its proper divisors (85229155359).

125250042141 is a wasteful number, since it uses less digits than its factorization.

125250042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33818 (or 33808 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 125250042141 its reverse (141240052521), we get a palindrome (266490094662).

The spelling of 125250042141 in words is "one hundred twenty-five billion, two hundred fifty million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 15649 18149 46947 54447 109543 127043 140841 163341 328629 381129 766801 889301 985887 1143387 2300403 2667903 6901209 8003709 284013701 852041103 1988095907 2556123309 5964287721 13916671349 17892863163 41750014047 125250042141