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42301214130 = 23574133114843
BaseRepresentation
bin100111011001010110…
…010100110110110010
311001012001012022211110
4213121112110312302
51143113102323010
631233301454150
73025156246620
oct473126246662
9131161168743
1042301214130
1116a37a292aa
128246711356
133cb1a61226
142094074510
151178a48120
hex9d9594db2

42301214130 has 128 divisors (see below), whose sum is σ = 119223207936. Its totient is φ = 9403891200.

The previous prime is 42301214117. The next prime is 42301214177. The reversal of 42301214130 is 3141210324.

It is a super-2 number, since 2×423012141302 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42301214097 and 42301214106.

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, 2842489 + ... + 2857331.

It is an arithmetic number, because the mean of its divisors is an integer number (931431312).

Almost surely, 242301214130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42301214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59611603968).

42301214130 is an abundant number, since it is smaller than the sum of its proper divisors (76921993806).

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

42301214130 is a wasteful number, since it uses less digits than its factorization.

42301214130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 42301214130 its reverse (3141210324), we get a palindrome (45442424454).

The spelling of 42301214130 in words is "forty-two billion, three hundred one million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 331 410 574 615 662 861 993 1230 1435 1655 1722 1986 2317 2870 3310 4305 4634 4965 6951 8610 9930 11585 13571 13902 14843 23170 27142 29686 34755 40713 44529 67855 69510 74215 81426 89058 94997 103901 135710 148430 189994 203565 207802 222645 284991 311703 407130 445290 474985 519505 569982 608563 623406 949970 1039010 1217126 1424955 1558515 1825689 2849910 3042815 3117030 3651378 4259941 4913033 6085630 8519882 9128445 9826066 12779823 14739099 18256890 21299705 24565165 25559646 29478198 34391231 42599410 49130330 63899115 68782462 73695495 103173693 127798230 147390990 171956155 201434353 206347386 343912310 402868706 515868465 604303059 1007171765 1031736930 1208606118 1410040471 2014343530 2820080942 3021515295 4230121413 6043030590 7050202355 8460242826 14100404710 21150607065 42301214130