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125301020 = 22513587821
BaseRepresentation
bin1110111011111…
…11000100011100
322201202221200112
413131333010130
5224034113040
620233345152
73051020045
oct735770434
9281687615
10125301020
1164802569
1235b681b8
131cc61a20
14128d98cc
15b001365
hex777f11c

125301020 has 48 divisors (see below), whose sum is σ = 284201568. Its totient is φ = 46129920.

The previous prime is 125301019. The next prime is 125301023. The reversal of 125301020 is 20103521.

It is a happy number.

It is a super-2 number, since 2×1253010202 = 31400691226080800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125300986 and 125301004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125301023) 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, 152210 + ... + 153030.

It is an arithmetic number, because the mean of its divisors is an integer number (5920866).

Almost surely, 2125301020 is an apocalyptic number.

125301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142100784).

125301020 is an abundant number, since it is smaller than the sum of its proper divisors (158900548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125301020 is a wasteful number, since it uses less digits than its factorization.

125301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 125301020 is about 11193.7938162180. The cubic root of 125301020 is about 500.4010382506.

Adding to 125301020 its reverse (20103521), we get a palindrome (145404541).

The spelling of 125301020 in words is "one hundred twenty-five million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 587 821 1174 1642 2348 2935 3284 4105 5870 7631 8210 10673 11740 15262 16420 21346 30524 38155 42692 53365 76310 106730 152620 213460 481927 963854 1927708 2409635 4819270 6265051 9638540 12530102 25060204 31325255 62650510 125301020