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30134221000422 = 23711229359379273
BaseRepresentation
bin1101101101000001010111…
…00010011100111011100110
310221200210200200012001010220
412312200223202130323212
512422204341034003142
6144031245305025210
76230061042151230
oct666405342347346
9127623620161126
1030134221000422
119668940180290
123468269785206
1313a784c963366
1476270b297250
15373cd84b92ec
hex1b682b89cee6

30134221000422 has 128 divisors (see below), whose sum is σ = 75489953909760. Its totient is φ = 7790623856640.

The previous prime is 30134221000337. The next prime is 30134221000427. The reversal of 30134221000422 is 22400012243103.

It is a happy number.

It is a super-3 number, since 3×301342210004223 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30134221000392 and 30134221000401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30134221000427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380092578 + ... + 380171850.

It is an arithmetic number, because the mean of its divisors is an integer number (589765264920).

Almost surely, 230134221000422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30134221000422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37744976954880).

30134221000422 is an abundant number, since it is smaller than the sum of its proper divisors (45355732909338).

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

30134221000422 is a wasteful number, since it uses less digits than its factorization.

30134221000422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83118.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30134221000422 its reverse (22400012243103), we get a palindrome (52534233243525).

The spelling of 30134221000422 in words is "thirty trillion, one hundred thirty-four billion, two hundred twenty-one million, four hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 229 231 458 462 687 1374 1603 2519 3206 3593 4809 5038 7186 7557 9618 10779 15114 17633 21558 25151 35266 39523 50302 52899 75453 79046 79273 105798 118569 150906 158546 237138 237819 276661 475638 553322 554911 822797 829983 872003 1109822 1645594 1659966 1664733 1744006 2468391 2616009 3329466 4936782 5232018 5759579 6104021 9050767 11519158 12208042 17278737 18101534 18153517 18312063 27152301 34557474 36307034 36624126 54304602 54460551 63355369 108921102 126710738 127074619 190066107 199688687 254149238 284827889 380132214 381223857 399377374 569655778 599066061 762447714 854483667 1198132122 1397820809 1708967334 1993795223 2795641618 3133106779 3987590446 4193462427 5981385669 6266213558 8386924854 9399320337 11962771338 18798640674 21931747453 43863494906 65225586581 65795242359 130451173162 131590484718 195676759743 391353519486 456579106067 717481452391 913158212134 1369737318201 1434962904782 2152444357173 2739474636402 4304888714346 5022370166737 10044740333474 15067110500211 30134221000422