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130636233 = 3471337479
BaseRepresentation
bin1111100100101…
…01100111001001
3100002211000020000
413302111213021
5231420324413
620543553213
73144250440
oct762254711
9302730200
10130636233
1167816a32
12378bb809
13210ac260
14134c7d57
15b707073
hex7c959c9

130636233 has 80 divisors (see below), whose sum is σ = 247188480. Its totient is φ = 66904704.

The previous prime is 130636199. The next prime is 130636243. The reversal of 130636233 is 332636031.

130636233 is a `hidden beast` number, since 1 + 3 + 0 + 636 + 23 + 3 = 666.

It is not a de Polignac number, because 130636233 - 28 = 130635977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130636197 and 130636206.

It is not an unprimeable number, because it can be changed into a prime (130636243) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 272488 + ... + 272966.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2130636233 is an apocalyptic number.

130636233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130636233 is a deficient number, since it is larger than the sum of its proper divisors (116552247).

130636233 is a wasteful number, since it uses less digits than its factorization.

130636233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 130636233 is about 11429.6208598536. The cubic root of 130636233 is about 507.4047746140.

The spelling of 130636233 in words is "one hundred thirty million, six hundred thirty-six thousand, two hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 37 39 63 81 91 111 117 189 259 273 333 351 479 481 567 777 819 999 1053 1437 1443 2331 2457 2997 3353 3367 4311 4329 6227 6993 7371 10059 10101 12933 12987 17723 18681 20979 30177 30303 38799 38961 43589 53169 56043 90531 90909 124061 130767 159507 168129 230399 271593 272727 372183 392301 478521 504387 691197 1116549 1176903 1435563 1612793 2073591 3349647 3530709 4838379 6220773 10048941 14515137 18662319 43545411 130636233