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233404421130 = 233523145125903
BaseRepresentation
bin1101100101011111111…
…1001101010000001010
3211022110100121002201000
43121113333031100022
512311003012434010
6255120254435430
722601656562616
oct3312777152012
9738410532630
10233404421130
118aa93790211
123929a802b76
1319018ac753a
14b422728346
156110dca7c0
hex3657fcd40a

233404421130 has 128 divisors (see below), whose sum is σ = 649945866240. Its totient is φ = 59491713600.

The previous prime is 233404421087. The next prime is 233404421137. The reversal of 233404421130 is 31124404332.

233404421130 is a `hidden beast` number, since 233 + 4 + 0 + 4 + 421 + 1 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 233404421094 and 233404421103.

It is not an unprimeable number, because it can be changed into a prime (233404421137) 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, 8997759 + ... + 9023661.

It is an arithmetic number, because the mean of its divisors is an integer number (5077702080).

Almost surely, 2233404421130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233404421130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324972933120).

233404421130 is an abundant number, since it is smaller than the sum of its proper divisors (416541445110).

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

233404421130 is a wasteful number, since it uses less digits than its factorization.

233404421130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27393 (or 27387 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 233404421130 its reverse (31124404332), we get a palindrome (264528825462).

The spelling of 233404421130 in words is "two hundred thirty-three billion, four hundred four million, four hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 1451 2070 2902 3105 4353 6210 7255 8706 13059 14510 21765 25903 26118 33373 39177 43530 51806 65295 66746 77709 78354 100119 129515 130590 155418 166865 195885 200238 233127 259030 300357 333730 388545 391770 466254 500595 595769 600714 699381 777090 901071 1001190 1165635 1191538 1398762 1501785 1787307 1802142 2331270 2978845 3003570 3496905 3574614 4505355 5361921 5957690 6993810 8936535 9010710 10723842 16085763 17873070 26809605 32171526 37585253 53619210 75170506 80428815 112755759 160857630 187926265 225511518 338267277 375852530 563778795 676534554 864460819 1014801831 1127557590 1691336385 1728921638 2029603662 2593382457 3382672770 4322304095 5074009155 5186764914 7780147371 8644608190 10148018310 12966912285 15560294742 23340442113 25933824570 38900736855 46680884226 77801473710 116702210565 233404421130