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130317075 = 3252797853
BaseRepresentation
bin1111100010001…
…11101100010011
3100002012210102100
413301013230103
5231330121300
620533051443
73141451110
oct761075423
9302183370
10130317075
1167619169
1237786b83
1320cc9bc5
1413443907
15b692700
hex7c47b13

130317075 has 72 divisors (see below), whose sum is σ = 269823008. Its totient is φ = 58890240.

The previous prime is 130317073. The next prime is 130317091. The reversal of 130317075 is 570713031.

It is not a de Polignac number, because 130317075 - 21 = 130317073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130317073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152349 + ... + 153201.

Almost surely, 2130317075 is an apocalyptic number.

130317075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130317075 is an abundant number, since it is smaller than the sum of its proper divisors (139505933).

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

130317075 is a wasteful number, since it uses less digits than its factorization.

130317075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 130317075 is about 11415.6504413897. The cubic root of 130317075 is about 506.9912233113.

The spelling of 130317075 in words is "one hundred thirty million, three hundred seventeen thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 97 105 175 225 291 315 485 525 679 853 873 1455 1575 2037 2425 2559 3395 4265 4365 5971 6111 7275 7677 10185 12795 16975 17913 21325 21825 29855 30555 38385 50925 53739 63975 82741 89565 149275 152775 191925 248223 268695 413705 447825 579187 744669 1241115 1343475 1737561 2068525 2895935 3723345 5212683 6205575 8687805 14479675 18616725 26063415 43439025 130317075