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130188465 = 3651117191
BaseRepresentation
bin1111100001010…
…00010010110001
3100001222021000000
413300220102301
5231312012330
620530220213
73140404131
oct760502261
9301867000
10130188465
1167540580
1237724669
1320c834c4
141340cac1
15b669560
hex7c284b1

130188465 has 112 divisors (see below), whose sum is σ = 271973376. Its totient is φ = 59097600.

The previous prime is 130188389. The next prime is 130188467. The reversal of 130188465 is 564881031.

130188465 is a `hidden beast` number, since 13 + 0 + 188 + 465 = 666.

It is not a de Polignac number, because 130188465 - 210 = 130187441 is a prime.

It is a super-3 number, since 3×1301884653 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130188467) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 681520 + ... + 681710.

Almost surely, 2130188465 is an apocalyptic number.

130188465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130188465 is an abundant number, since it is smaller than the sum of its proper divisors (141784911).

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

130188465 is a wasteful number, since it uses less digits than its factorization.

130188465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 130188465 is about 11410.0159947302. The cubic root of 130188465 is about 506.8243851002.

The spelling of 130188465 in words is "one hundred thirty million, one hundred eighty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 191 243 255 297 405 459 495 561 573 729 765 891 935 955 1215 1377 1485 1683 1719 2101 2295 2673 2805 2865 3247 3645 4131 4455 5049 5157 6303 6885 8019 8415 8595 9741 10505 12393 13365 15147 15471 16235 18909 20655 25245 25785 29223 31515 35717 40095 45441 46413 48705 56727 61965 75735 77355 87669 94545 107151 136323 139239 146115 170181 178585 227205 232065 263007 283635 321453 438345 510543 535755 681615 696195 789021 850905 964359 1315035 1531629 1607265 2367063 2552715 2893077 3945105 4821795 7658145 8679231 11835315 14465385 26037693 43396155 130188465