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42311242333230 = 23513270431184923
BaseRepresentation
bin10011001111011010110101…
…00100011011110000101110
312112210220201020010120221220
421213231122210123300232
521021211411014130410
6225553303312404210
711624613012531033
oct1147553244336056
9175726636116856
1042311242333230
1112533108277542
1248b4251546666
131a7bc18b41c00
14a63c3721d38a
154d592c365070
hex267b5a91bc2e

42311242333230 has 96 divisors (see below), whose sum is σ = 109974862947456. Its totient is φ = 10413587463552.

The previous prime is 42311242333211. The next prime is 42311242333231. The reversal of 42311242333230 is 3233324211324.

It is a junction number, because it is equal to n+sod(n) for n = 42311242333191 and 42311242333200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311242333231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35115549 + ... + 36300471.

It is an arithmetic number, because the mean of its divisors is an integer number (1145571489036).

Almost surely, 242311242333230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42311242333230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54987431473728).

42311242333230 is an abundant number, since it is smaller than the sum of its proper divisors (67663620614226).

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

42311242333230 is a wasteful number, since it uses less digits than its factorization.

42311242333230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192002 (or 1191989 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 42311242333230 its reverse (3233324211324), we get a palindrome (45544566544554).

The spelling of 42311242333230 in words is "forty-two trillion, three hundred eleven billion, two hundred forty-two million, three hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 7043 14086 21129 35215 42258 70430 91559 105645 183118 211290 274677 457795 549354 915590 1184923 1190267 1373385 2369846 2380534 2746770 3554769 3570801 5924615 5951335 7109538 7141602 11849230 11902670 15403999 17773845 17854005 30807998 35547690 35708010 46211997 77019995 92423994 154039990 200251987 231059985 400503974 462119970 600755961 1001259935 1201511922 2002519870 3003779805 6007559610 8345412689 16690825378 25036238067 41727063445 50072476134 83454126890 108490364957 125181190335 216980729914 250362380670 325471094871 542451824785 650942189742 1084903649570 1410374744441 1627355474355 2820749488882 3254710948710 4231124233323 7051873722205 8462248466646 14103747444410 21155621166615 42311242333230