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130105233 = 32173127431
BaseRepresentation
bin1111100000100…
…11111110010001
3100001211000211100
413300103332101
5231301331413
620524335013
73136606356
oct760237621
9301730740
10130105233
1167493a95
12376a4469
1320c5465b
14133ca62d
15b64ea73
hex7c13f91

130105233 has 24 divisors (see below), whose sum is σ = 205410816. Its totient is φ = 78998400.

The previous prime is 130105231. The next prime is 130105243. The reversal of 130105233 is 332501031.

130105233 is a `hidden beast` number, since 130 + 10 + 523 + 3 = 666.

It is not a de Polignac number, because 130105233 - 21 = 130105231 is a prime.

It is a super-4 number, since 4×1301052334 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (130105231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8973 + ... + 18458.

It is an arithmetic number, because the mean of its divisors is an integer number (8558784).

Almost surely, 2130105233 is an apocalyptic number.

It is an amenable number.

130105233 is a deficient number, since it is larger than the sum of its proper divisors (75305583).

130105233 is a wasteful number, since it uses less digits than its factorization.

130105233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27485 (or 27482 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130105233 is about 11406.3680897997. The cubic root of 130105233 is about 506.7163545357.

Adding to 130105233 its reverse (332501031), we get a palindrome (462606264).

The spelling of 130105233 in words is "one hundred thirty million, one hundred five thousand, two hundred thirty-three".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 27431 82293 246879 466327 850361 1398981 2551083 4196943 7653249 14456137 43368411 130105233