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30012311330320 = 24511229307485113
BaseRepresentation
bin1101101001011110010010…
…01001111101111000010000
310221021011000120122010202011
412310233021021331320100
512413210203200032240
6143455244313432304
76215214024102424
oct664571111757020
9127234016563664
1030012311330320
119621171365810
12344870640b694
1313991c1c3aaa7
1475a86448ab84
15370a50a456ea
hex1b4bc927de10

30012311330320 has 160 divisors (see below), whose sum is σ = 76703741896320. Its totient is φ = 10830494085120.

The previous prime is 30012311330263. The next prime is 30012311330357. The reversal of 30012311330320 is 2303311321003.

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 = 30012311330291 and 30012311330300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61624084 + ... + 62109196.

It is an arithmetic number, because the mean of its divisors is an integer number (479398386852).

Almost surely, 230012311330320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30012311330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38351870948160).

30012311330320 is an abundant number, since it is smaller than the sum of its proper divisors (46691430566000).

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

30012311330320 is a wasteful number, since it uses less digits than its factorization.

30012311330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485673 (or 485667 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 30012311330320 its reverse (2303311321003), we get a palindrome (32315622651323).

The spelling of 30012311330320 in words is "thirty trillion, twelve billion, three hundred eleven million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 229 307 440 458 614 880 916 1145 1228 1535 1832 2290 2456 2519 3070 3377 3664 4580 4912 5038 6140 6754 9160 10076 12280 12595 13508 16885 18320 20152 24560 25190 27016 33770 40304 50380 54032 67540 70303 100760 135080 140606 201520 270160 281212 351515 485113 562424 703030 773333 970226 1124848 1406060 1546666 1940452 2425565 2812120 3093332 3866665 3880904 4851130 5336243 5624240 6186664 7733330 7761808 9702260 10672486 12373328 15466660 19404520 21344972 26681215 30933320 38809040 42689944 53362430 61866640 85379888 106724860 111090877 148929691 213449720 222181754 297859382 426899440 444363508 555454385 595718764 744648455 888727016 1110908770 1191437528 1221999647 1489296910 1638226601 1777454032 2221817540 2382875056 2443999294 2978593820 3276453202 4443635080 4887998588 5957187640 6109998235 6552906404 8191133005 8887270160 9775997176 11914375280 12219996470 13105812808 16382266010 19551994352 24439992940 26211625616 32764532020 34104899239 48879985880 65529064040 68209798478 97759971760 131058128080 136419596956 170524496195 272839193912 341048992390 375153891629 545678387824 682097984780 750307783258 1364195969560 1500615566516 1875769458145 2728391939120 3001231133032 3751538916290 6002462266064 7503077832580 15006155665160 30012311330320