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1322020101441 = 3131918110099769
BaseRepresentation
bin10011001111001110100…
…010011101110101000001
311200101100212001111200210
4103033032202131311001
5133124444121221231
62451154434504333
7164340614311014
oct23171642356501
94611325044623
101322020101441
1146a735978336
12194271a350a9
1397887166a70
1447db3c7d37b
15245c71c4a46
hex133ce89dd41

1322020101441 has 64 divisors (see below), whose sum is σ = 2011431968000. Its totient is φ = 765636157440.

The previous prime is 1322020101349. The next prime is 1322020101469. The reversal of 1322020101441 is 1441010202231.

It is not a de Polignac number, because 1322020101441 - 27 = 1322020101313 is a prime.

It is a super-2 number, since 2×13220201014412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322020106441) 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, 135323205 + ... + 135332973.

It is an arithmetic number, because the mean of its divisors is an integer number (31428624500).

Almost surely, 21322020101441 is an apocalyptic number.

It is an amenable number.

1322020101441 is a deficient number, since it is larger than the sum of its proper divisors (689411866559).

1322020101441 is a wasteful number, since it uses less digits than its factorization.

1322020101441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1322020101441 its reverse (1441010202231), we get a palindrome (2763030303672).

The spelling of 1322020101441 in words is "one trillion, three hundred twenty-two billion, twenty million, one hundred one thousand, four hundred forty-one".

Divisors: 1 3 13 19 39 57 181 247 543 741 1009 2353 3027 3439 7059 9769 10317 13117 19171 29307 39351 44707 57513 126997 134121 182629 185611 249223 380991 547887 556833 747669 1768189 2374177 2412943 3469951 5304567 7122531 7238829 9856921 10409853 22986457 29570763 33595591 45109363 68959371 100786773 128139973 135328089 187281499 384419919 436742683 561844497 1310228049 1784102701 2434659487 5352308103 7303978461 23193335113 33897951319 69580005339 101693853957 440673367147 1322020101441