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130267125 = 3253115793
BaseRepresentation
bin1111100001110…
…11011111110101
3100002010020220100
413300323133311
5231322022000
620532024313
73141152352
oct760733765
9302106810
10130267125
116759468a
1237762099
1320cb0251
141342d629
15b682a00
hex7c3b7f5

130267125 has 24 divisors (see below), whose sum is σ = 234830232. Its totient is φ = 69475200.

The previous prime is 130267117. The next prime is 130267133. The reversal of 130267125 is 521762031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130267117) and next prime (130267133).

It can be written as a sum of positive squares in 4 ways, for example, as 38452401 + 91814724 = 6201^2 + 9582^2 .

It is not a de Polignac number, because 130267125 - 23 = 130267117 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56772 + ... + 59021.

It is an arithmetic number, because the mean of its divisors is an integer number (9784593).

Almost surely, 2130267125 is an apocalyptic number.

130267125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130267125 is a deficient number, since it is larger than the sum of its proper divisors (104563107).

130267125 is a wasteful number, since it uses less digits than its factorization.

130267125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115814 (or 115801 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130267125 is about 11413.4624457261. The cubic root of 130267125 is about 506.9264391484.

The spelling of 130267125 in words is "one hundred thirty million, two hundred sixty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 115793 347379 578965 1042137 1736895 2894825 5210685 8684475 14474125 26053425 43422375 130267125