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30222320220030 = 23523317238158031
BaseRepresentation
bin1101101111100101011101…
…01010010011011101111110
310222000020002110102002202110
412313302232222103131332
512430130302434020110
6144135535305034450
76236330161155051
oct667625652233576
9128006073362673
1030222320220030
1196a2239962994
123481355a85a26
1313b2c4ca3a7c3
14766aa7966a98
15376242a31a20
hex1b7caea9377e

30222320220030 has 128 divisors (see below), whose sum is σ = 75959160016896. Its totient is φ = 7681203622400.

The previous prime is 30222320220017. The next prime is 30222320220091. The reversal of 30222320220030 is 3002202322203.

It is a super-2 number, since 2×302223202200302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30222320219979 and 30222320220006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520767115 + ... + 520825145.

It is an arithmetic number, because the mean of its divisors is an integer number (593430937632).

Almost surely, 230222320220030 is an apocalyptic number.

30222320220030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222320220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37979580008448).

30222320220030 is an abundant number, since it is smaller than the sum of its proper divisors (45736839796866).

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

30222320220030 is a wasteful number, since it uses less digits than its factorization.

30222320220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60762.

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 30222320220030 its reverse (3002202322203), we get a palindrome (33224522542233).

The spelling of 30222320220030 in words is "thirty trillion, two hundred twenty-two billion, three hundred twenty million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 317 345 634 690 951 1585 1902 2381 3170 4755 4762 7143 7291 9510 11905 14286 14582 21873 23810 35715 36455 43746 54763 58031 71430 72910 109365 109526 116062 164289 174093 218730 273815 290155 328578 348186 547630 580310 754777 821445 870465 1334713 1509554 1642890 1740930 2264331 2669426 3773885 4004139 4528662 6673565 7547770 8008278 11321655 13347130 17359871 18395827 20020695 22643310 34719742 36791654 40041390 52079613 55187481 86799355 91979135 104159226 110374962 138171811 173598710 183958270 260398065 275937405 276343622 414515433 423104021 520796130 551874810 690859055 829030866 846208042 1269312063 1381718110 2072577165 2115520105 2538624126 3177951653 4145154330 4231040210 6346560315 6355903306 9533854959 12693120630 15889758265 19067709918 31779516530 43800464087 47669274795 87600928174 95338549590 131401392261 219002320435 262802784522 438004640870 657006961305 1007410674001 1314013922610 2014821348002 3022232022003 5037053370005 6044464044006 10074106740010 15111160110015 30222320220030