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129163125 = 354713757
BaseRepresentation
bin1111011001011…
…01111101110101
3100000001011111110
413230231331311
5231031210000
620452225233
73125603610
oct754557565
9300034443
10129163125
1166a00193
123730b219
13209b48b0
1413223177
15b515850
hex7b2df75

129163125 has 80 divisors (see below), whose sum is σ = 265215104. Its totient is φ = 54432000.

The previous prime is 129163123. The next prime is 129163141. The reversal of 129163125 is 521361921.

It is not a de Polignac number, because 129163125 - 21 = 129163123 is a prime.

It is a super-2 number, since 2×1291631252 = 33366225719531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129163092 and 129163101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129163123) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 170247 + ... + 171003.

Almost surely, 2129163125 is an apocalyptic number.

129163125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129163125 is an abundant number, since it is smaller than the sum of its proper divisors (136051979).

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

129163125 is an equidigital number, since it uses as much as digits as its factorization.

129163125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 129163125 is about 11364.9956005271. The cubic root of 129163125 is about 505.4903253242.

The spelling of 129163125 in words is "one hundred twenty-nine million, one hundred sixty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 625 757 875 975 1365 1625 1875 2271 2275 2625 3785 4375 4875 5299 6825 8125 9841 11355 11375 13125 15897 18925 24375 26495 29523 34125 49205 56775 56875 68887 79485 94625 132475 147615 170625 206661 246025 283875 344435 397425 473125 662375 738075 1033305 1230125 1419375 1722175 1987125 3311875 3690375 5166525 6150625 8610875 9935625 18451875 25832625 43054375 129163125