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130971225 = 35271122679
BaseRepresentation
bin1111100111001…
…11011001011001
3100010110000202010
413303213121121
5232012034400
620555100133
73150144210
oct763473131
9303400663
10130971225
1167a25690
1237a41649
1321198888
1413574077
15b771450
hex7ce7659

130971225 has 48 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 54427200.

The previous prime is 130971193. The next prime is 130971233. The reversal of 130971225 is 522179031.

It is not a de Polignac number, because 130971225 - 25 = 130971193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130971192 and 130971201.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5565 + ... + 17114.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2130971225 is an apocalyptic number.

130971225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130971225 is an abundant number, since it is smaller than the sum of its proper divisors (139011495).

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

130971225 is a wasteful number, since it uses less digits than its factorization.

130971225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22710 (or 22705 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 130971225 is about 11444.2660315112. The cubic root of 130971225 is about 507.8381190546.

The spelling of 130971225 in words is "one hundred thirty million, nine hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 22679 68037 113395 158753 249469 340185 476259 566975 748407 793765 1247345 1700925 1746283 2381295 3742035 3968825 5238849 6236725 8731415 11906475 18710175 26194245 43657075 130971225