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125152505353141 = 727013643556009
BaseRepresentation
bin11100011101001101010110…
…100111111101001110110101
3121102010110111021121210122021
4130131031112213331032311
5112400444312332300031
61122102133420233141
735234653516103200
oct3435152647751665
9542113437553567
10125152505353141
1136971974609802
121205348899b7b1
1354aaaa4b25266
1422c95b0c0c937
15e7078588d511
hex71d3569fd3b5

125152505353141 has 12 divisors (see below), whose sum is σ = 145793250184140. Its totient is φ = 107120546635200.

The previous prime is 125152505353111. The next prime is 125152505353153. The reversal of 125152505353141 is 141353505251521.

It can be written as a sum of positive squares in 2 ways, for example, as 119601651552516 + 5550853800625 = 10936254^2 + 2356025^2 .

It is not a de Polignac number, because 125152505353141 - 237 = 125015066399669 is a prime.

It is a super-2 number, since 2×1251525053531412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125152505353111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1821743656 + ... + 1821812353.

It is an arithmetic number, because the mean of its divisors is an integer number (12149437515345).

Almost surely, 2125152505353141 is an apocalyptic number.

It is an amenable number.

125152505353141 is a deficient number, since it is larger than the sum of its proper divisors (20640744830999).

125152505353141 is an equidigital number, since it uses as much as digits as its factorization.

125152505353141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643556724 (or 3643556717 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 43.

The spelling of 125152505353141 in words is "one hundred twenty-five trillion, one hundred fifty-two billion, five hundred five million, three hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 7 49 701 4907 34349 3643556009 25504892063 178534244441 2554132762309 17878929336163 125152505353141