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130531950 = 2325217113151
BaseRepresentation
bin1111100011111…
…00001001101110
3100002121201011200
413301330021232
5231404010300
620541430330
73143334423
oct761741156
9302551150
10130531950
116775564a
123786b3a6
1321073953
141349bd4a
15b6d6200
hex7c7c26e

130531950 has 144 divisors (see below), whose sum is σ = 377091936. Its totient is φ = 32256000.

The previous prime is 130531949. The next prime is 130531963. The reversal of 130531950 is 59135031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 864375 + ... + 864525.

It is an arithmetic number, because the mean of its divisors is an integer number (2618694).

Almost surely, 2130531950 is an apocalyptic number.

130531950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130531950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188545968).

130531950 is an abundant number, since it is smaller than the sum of its proper divisors (246559986).

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

130531950 is a wasteful number, since it uses less digits than its factorization.

130531950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 130531950 is about 11425.0579867237. The cubic root of 130531950 is about 507.2697233168.

Adding to 130531950 its reverse (59135031), we get a palindrome (189666981).

The spelling of 130531950 in words is "one hundred thirty million, five hundred thirty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 113 150 151 153 170 225 226 255 302 306 339 425 450 453 510 565 678 755 765 850 906 1017 1130 1275 1359 1510 1530 1695 1921 2034 2265 2550 2567 2718 2825 3390 3775 3825 3842 4530 5085 5134 5650 5763 6795 7550 7650 7701 8475 9605 10170 11325 11526 12835 13590 15402 16950 17063 17289 19210 22650 23103 25425 25670 28815 33975 34126 34578 38505 46206 48025 50850 51189 57630 64175 67950 77010 85315 86445 96050 102378 115515 128350 144075 153567 170630 172890 192525 231030 255945 288150 290071 307134 385050 426575 432225 511890 577575 580142 767835 853150 864450 870213 1155150 1279725 1450355 1535670 1740426 2559450 2610639 2900710 3839175 4351065 5221278 7251775 7678350 8702130 13053195 14503550 21755325 26106390 43510650 65265975 130531950