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42311303320 = 235111354713523
BaseRepresentation
bin100111011001111100…
…110100000010011000
311001012202011220121011
4213121330310002120
51143123143201240
631234302023304
73025341100306
oct473174640230
9131182156534
1042311303320
1116a4269a480
128249b77b34
133cb3b84570
14209553d276
15117988c6ea
hex9d9f34098

42311303320 has 128 divisors (see below), whose sum is σ = 112056618240. Its totient is φ = 14175383040.

The previous prime is 42311303317. The next prime is 42311303323. The reversal of 42311303320 is 2330311324.

It is an interprime number because it is at equal distance from previous prime (42311303317) and next prime (42311303323).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42311303291 and 42311303300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311303323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3122079 + ... + 3135601.

It is an arithmetic number, because the mean of its divisors is an integer number (875442330).

Almost surely, 242311303320 is an apocalyptic number.

42311303320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42311303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56028309120).

42311303320 is an abundant number, since it is smaller than the sum of its proper divisors (69745314920).

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

42311303320 is a wasteful number, since it uses less digits than its factorization.

42311303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14105 (or 14101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 42311303320 its reverse (2330311324), we get a palindrome (44641614644).

The spelling of 42311303320 in words is "forty-two billion, three hundred eleven million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 547 572 715 1094 1144 1430 2188 2735 2860 4376 5470 5720 6017 7111 10940 12034 13523 14222 21880 24068 27046 28444 30085 35555 48136 54092 56888 60170 67615 71110 78221 108184 120340 135230 142220 148753 156442 175799 240680 270460 284440 297506 312884 351598 391105 540920 595012 625768 703196 743765 782210 878995 1190024 1406392 1487530 1564420 1757990 1933789 2975060 3128840 3515980 3867578 5950120 7031960 7397081 7735156 9668945 14794162 15470312 19337890 29588324 36985405 38675780 59176648 73970810 77351560 81367891 96162053 147941620 162735782 192324106 295883240 325471564 384648212 406839455 480810265 650943128 769296424 813678910 961620530 1057782583 1627357820 1923241060 2115565166 3254715640 3846482120 4231130332 5288912915 8462260664 10577825830 21155651660 42311303320