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120530683230 = 235171913819007
BaseRepresentation
bin111000001000000110…
…0000100010101011110
3102112002222202010000220
41300100030010111132
53433321323330410
6131212050502210
711464601621556
oct1602014042536
9375088663026
10120530683230
1147131479301
121b439594966
13b49b123409
145b95a08166
153206880070
hex1c1030455e

120530683230 has 128 divisors (see below), whose sum is σ = 322679531520. Its totient is φ = 28634757120.

The previous prime is 120530683193. The next prime is 120530683241. The reversal of 120530683230 is 32386035021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120530683191 and 120530683200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13377387 + ... + 13386393.

It is an arithmetic number, because the mean of its divisors is an integer number (2520933840).

Almost surely, 2120530683230 is an apocalyptic number.

120530683230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120530683230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161339765760).

120530683230 is an abundant number, since it is smaller than the sum of its proper divisors (202148848290).

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

120530683230 is a wasteful number, since it uses less digits than its factorization.

120530683230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 120530683230 in words is "one hundred twenty billion, five hundred thirty million, six hundred eighty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1381 1615 1938 2762 3230 4143 4845 6905 8286 9007 9690 13810 18014 20715 23477 26239 27021 41430 45035 46954 52478 54042 70431 78717 90070 117385 131195 135105 140862 153119 157434 171133 234770 262390 270210 306238 342266 352155 393585 446063 459357 513399 704310 765595 787170 855665 892126 918714 1026798 1338189 1531190 1711330 2230315 2296785 2566995 2676378 2909261 4460630 4593570 5133990 5818522 6690945 8727783 12438667 13381890 14546305 17455566 24877334 29092610 37316001 43638915 62193335 74632002 87277830 124386670 186580005 211457339 236334673 373160010 422914678 472669346 634372017 709004019 1057286695 1181673365 1268744034 1418008038 2114573390 2363346730 3171860085 3545020095 4017689441 6343720170 7090040190 8035378882 12053068323 20088447205 24106136646 40176894410 60265341615 120530683230