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2242122001330 = 2517292291985989
BaseRepresentation
bin100000101000001000111…
…000101010101110110010
321221100022100002220112211
4200220020320222232302
5243213331213020310
64434003331442334
7320662605362461
oct40501070525662
97840270086484
102242122001330
11794973466032
123026561563aa
1313357b457c93
147a73acb49d8
153d4c9399c8a
hex20a08e2abb2

2242122001330 has 64 divisors (see below), whose sum is σ = 4439879244000. Its totient is φ = 811427033088.

The previous prime is 2242122001319. The next prime is 2242122001333. The reversal of 2242122001330 is 331002212422.

It can be written as a sum of positive squares in 16 ways, for example, as 591531730321 + 1650590271009 = 769111^2 + 1284753^2 .

It is a super-2 number, since 2×22421220013302 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2242122001333) 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, 135976 + ... + 2121964.

Almost surely, 22242122001330 is an apocalyptic number.

2242122001330 is a deficient number, since it is larger than the sum of its proper divisors (2197757242670).

2242122001330 is a wasteful number, since it uses less digits than its factorization.

2242122001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986271.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2242122001330 its reverse (331002212422), we get a palindrome (2573124213752).

The spelling of 2242122001330 in words is "two trillion, two hundred forty-two billion, one hundred twenty-two million, one thousand, three hundred thirty".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 229 290 458 493 986 1145 2290 2465 3893 4930 6641 7786 13282 19465 33205 38930 66410 112897 225794 564485 1128970 1985989 3971978 9929945 19859890 33761813 57593681 67523626 115187362 168809065 287968405 337618130 454791481 575936810 909582962 979092577 1958185154 2273957405 4547914810 4895462885 7731455177 9790925770 13188952949 15462910354 26377905898 38657275885 65944764745 77314551770 131889529490 224212200133 448424400266 1121061000665 2242122001330