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130965471 = 33713151353
BaseRepresentation
bin1111100111001…
…01111111011111
3100010102201212000
413303211333133
5232011343341
620555013343
73150121350
oct763457737
9303381760
10130965471
1167a2132a
1237a3a253
1321196080
1413571d27
15b76e8b6
hex7ce5fdf

130965471 has 64 divisors (see below), whose sum is σ = 241059840. Its totient is φ = 68428800.

The previous prime is 130965469. The next prime is 130965493. The reversal of 130965471 is 174569031.

It is not a de Polignac number, because 130965471 - 21 = 130965469 is a prime.

It is a super-3 number, since 3×1309654713 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130965871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370831 + ... + 371183.

It is an arithmetic number, because the mean of its divisors is an integer number (3766560).

Almost surely, 2130965471 is an apocalyptic number.

130965471 is a deficient number, since it is larger than the sum of its proper divisors (110094369).

130965471 is a wasteful number, since it uses less digits than its factorization.

130965471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 130965471 is about 11444.0146364814. The cubic root of 130965471 is about 507.8306819418.

The spelling of 130965471 in words is "one hundred thirty million, nine hundred sixty-five thousand, four hundred seventy-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 151 189 273 351 353 453 819 1057 1059 1359 1963 2457 2471 3171 3177 4077 4589 5889 7413 9513 9531 13741 13767 17667 22239 28539 32123 41223 41301 53001 53303 66717 96369 123669 123903 159909 289107 371007 373121 479727 692939 867321 1119363 1439181 2078817 3358089 4850573 6236451 10074267 14551719 18709353 43655157 130965471