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3422211440010 = 2351153696128109
BaseRepresentation
bin110001110011001011101…
…100100111110110001010
3110010011022210120201002020
4301303023230213312022
5422032142112040020
611140050415545310
7502150406166006
oct61631354476612
913104283521066
103422211440010
1110aa396160770
124732b782b236
131ba936a5164c
14bb8c8d59706
155e0460d4c40
hex31ccbb27d8a

3422211440010 has 128 divisors (see below), whose sum is σ = 9130664113920. Its totient is φ = 813827788800.

The previous prime is 3422211439979. The next prime is 3422211440057. The reversal of 3422211440010 is 100441122243.

It is a super-2 number, since 2×34222114400102 (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 121733836 + ... + 121761944.

It is an arithmetic number, because the mean of its divisors is an integer number (71333313390).

Almost surely, 23422211440010 is an apocalyptic number.

3422211440010 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 3422211440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565332056960).

3422211440010 is an abundant number, since it is smaller than the sum of its proper divisors (5708452673910).

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

3422211440010 is a wasteful number, since it uses less digits than its factorization.

3422211440010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35144.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3422211440010 its reverse (100441122243), we get a palindrome (3522652562253).

The spelling of 3422211440010 in words is "three trillion, four hundred twenty-two billion, two hundred eleven million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 6961 8745 13922 17490 20883 28109 34805 41766 56218 69610 76571 84327 104415 140545 153142 168654 208830 229713 281090 309199 368933 382855 421635 459426 618398 737866 765710 843270 927597 1106799 1148565 1489777 1545995 1844665 1855194 2213598 2297130 2979554 3091990 3689330 4058263 4469331 4637985 5533995 7448885 8116526 8938662 9275970 11067990 12174789 14897770 16387547 20291315 22346655 24349578 32775094 40582630 44693310 49162641 60873945 81937735 98325282 121747890 163875470 195666749 245813205 391333498 491626410 587000247 978333745 1174000494 1956667490 2152334239 2935001235 4304668478 5870002470 6457002717 10370337697 10761671195 12914005434 20740675394 21523342390 31111013091 32285013585 51851688485 62222026182 64570027170 103703376970 114073714667 155555065455 228147429334 311110130910 342221144001 570368573335 684442288002 1140737146670 1711105720005 3422211440010