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165130303032 = 233228337921383
BaseRepresentation
bin1001100111001010001…
…0000111011000111000
3120210020012210112201100
42121302202013120320
510201141324144112
6203505415251400
714634040262622
oct2316242073070
9523205715640
10165130303032
1164038829822
1228005979b60
13127580bbba6
147dc7013c12
1544670822dc
hex2672887638

165130303032 has 96 divisors (see below), whose sum is σ = 450013449600. Its totient is φ = 54701656128.

The previous prime is 165130303021. The next prime is 165130303033. The reversal of 165130303032 is 230303031561.

It is a happy number.

165130303032 is a `hidden beast` number, since 1 + 6 + 51 + 303 + 0 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165130302987 and 165130303005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165130303033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7711813 + ... + 7733195.

It is an arithmetic number, because the mean of its divisors is an integer number (4687640100).

Almost surely, 2165130303032 is an apocalyptic number.

165130303032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165130303032 is an abundant number, since it is smaller than the sum of its proper divisors (284883146568).

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

165130303032 is a wasteful number, since it uses less digits than its factorization.

165130303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22057 (or 22050 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 165130303032 its reverse (230303031561), we get a palindrome (395433334593).

The spelling of 165130303032 in words is "one hundred sixty-five billion, one hundred thirty million, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283 379 566 758 849 1132 1137 1516 1698 2264 2274 2547 3032 3396 3411 4548 5094 6792 6822 9096 10188 13644 20376 21383 27288 42766 64149 85532 107257 128298 171064 192447 214514 256596 321771 384894 429028 513192 643542 769788 858056 965313 1287084 1539576 1930626 2574168 3861252 6051389 7722504 8104157 12102778 16208314 18154167 24205556 24312471 32416628 36308334 48411112 48624942 54462501 64833256 72616668 72937413 97249884 108925002 145233336 145874826 194499768 217850004 291749652 435700008 583499304 2293476431 4586952862 6880429293 9173905724 13760858586 18347811448 20641287879 27521717172 41282575758 55043434344 82565151516 165130303032