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42234113010210 = 23511296416884833
BaseRepresentation
bin10011001101001011001010…
…10011011010101000100010
312112112112121221201000110120
421212211211103122220202
521013430430412311320
6225454030023341110
711616212456231052
oct1146454523325042
9175475557630416
1042234113010210
1112503428831580
1248a1306bb1796
131a74876682034
14a601db825562
154d3915de2440
hex2669654daa22

42234113010210 has 128 divisors (see below), whose sum is σ = 114568044053760. Its totient is φ = 9870095155200.

The previous prime is 42234113010137. The next prime is 42234113010217. The reversal of 42234113010210 is 1201031143224.

It is not an unprimeable number, because it can be changed into a prime (42234113010217) 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, 2691954 + ... + 9576786.

It is an arithmetic number, because the mean of its divisors is an integer number (895062844170).

Almost surely, 242234113010210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234113010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57284022026880).

42234113010210 is an abundant number, since it is smaller than the sum of its proper divisors (72333931043550).

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

42234113010210 is a wasteful number, since it uses less digits than its factorization.

42234113010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885524.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42234113010210 its reverse (1201031143224), we get a palindrome (43435144153434).

The spelling of 42234113010210 in words is "forty-two trillion, two hundred thirty-four billion, one hundred thirteen million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 641 870 957 1282 1595 1914 1923 3190 3205 3846 4785 6410 7051 9570 9615 14102 18589 19230 21153 35255 37178 42306 55767 70510 92945 105765 111534 185890 204479 211530 278835 408958 557670 613437 1022395 1226874 2044790 3067185 6134370 6884833 13769666 20654499 34424165 41308998 68848330 75733163 103272495 151466326 199660157 206544990 227199489 378665815 399320314 454398978 598980471 757331630 998300785 1135997445 1197960942 1996601570 2196261727 2271994890 2994902355 4392523454 4413177953 5989804710 6588785181 8826355906 10981308635 13177570362 13239533859 21962617270 22065889765 26479067718 32943925905 44131779530 48544957483 65887851810 66197669295 97089914966 127982160637 132395338590 145634872449 242724787415 255964321274 291269744898 383946481911 485449574830 639910803185 728174362245 767892963822 1279821606370 1407803767007 1456348724490 1919732409555 2815607534014 3839464819110 4223411301021 7039018835035 8446822602042 14078037670070 21117056505105 42234113010210