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42301233030 = 235738349529
BaseRepresentation
bin100111011001010110…
…011001011110000110
311001012001020021202110
4213121112121132012
51143113103424110
631233302121450
73025156356000
oct473126313606
9131161207673
1042301233030
1116a37a41521
128246720286
133cb1a69a04
14209407b370
151178a4da20
hex9d9599786

42301233030 has 128 divisors (see below), whose sum is σ = 119822976000. Its totient is φ = 9552168192.

The previous prime is 42301233019. The next prime is 42301233041. The reversal of 42301233030 is 3033210324.

It is an interprime number because it is at equal distance from previous prime (42301233019) and next prime (42301233041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42301232988 and 42301233006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829306 + ... + 878834.

It is an arithmetic number, because the mean of its divisors is an integer number (936117000).

Almost surely, 242301233030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42301233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488000).

42301233030 is an abundant number, since it is smaller than the sum of its proper divisors (77521742970).

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

42301233030 is a wasteful number, since it uses less digits than its factorization.

42301233030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49643 (or 49629 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 42301233030 its reverse (3033210324), we get a palindrome (45334443354).

The spelling of 42301233030 in words is "forty-two billion, three hundred one million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 83 98 105 147 166 210 245 249 294 343 415 490 498 581 686 735 830 1029 1162 1245 1470 1715 1743 2058 2490 2905 3430 3486 4067 5145 5810 8134 8715 10290 12201 17430 20335 24402 28469 40670 49529 56938 61005 85407 99058 122010 142345 148587 170814 247645 284690 297174 346703 427035 495290 693406 742935 854070 1040109 1485870 1733515 2080218 2426921 3467030 4110907 4853842 5200545 7280763 8221814 10401090 12134605 12332721 14561526 16988447 20554535 24269210 24665442 28776349 33976894 36403815 41109070 50965341 57552698 61663605 72807630 84942235 86329047 101930682 123327210 143881745 169884470 172658094 201434443 254826705 287763490 402868886 431645235 509653410 604303329 863290470 1007172215 1208606658 1410041101 2014344430 2820082202 3021516645 4230123303 6043033290 7050205505 8460246606 14100411010 21150616515 42301233030