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22311422411321 = 31223216880761
BaseRepresentation
bin1010001001010110010000…
…11010000100001000111001
32220222221200101112000000002
411010223020122010020321
510411022243114130241
6115241420450122345
74461642563241131
oct504531032041071
986887611460002
1022311422411321
11712224832587a
12260412a2803b5
13c5ac5bc5b774
14571c42c79ac1
1528a58820089b
hex144ac8684239

22311422411321 has 6 divisors (see below), whose sum is σ = 23054362596666. Its totient is φ = 21591699106800.

The previous prime is 22311422411279. The next prime is 22311422411393. The reversal of 22311422411321 is 12311422411322.

It can be written as a sum of positive squares in only one way, i.e., 16310936142400 + 6000486268921 = 4038680^2 + 2449589^2 .

It is a de Polignac number, because none of the positive numbers 2k-22311422411321 is a prime.

It is a super-3 number, since 3×223114224113213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22311422413321) 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 5 ways as a sum of consecutive naturals, for example, 11608439420 + ... + 11608441341.

It is an arithmetic number, because the mean of its divisors is an integer number (3842393766111).

Almost surely, 222311422411321 is an apocalyptic number.

It is an amenable number.

22311422411321 is a deficient number, since it is larger than the sum of its proper divisors (742940185345).

22311422411321 is an equidigital number, since it uses as much as digits as its factorization.

22311422411321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23216880823 (or 23216880792 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 22311422411321 its reverse (12311422411322), we get a palindrome (34622844822643).

Subtracting from 22311422411321 its reverse (12311422411322), we obtain a palindrome (9999999999999).

The spelling of 22311422411321 in words is "twenty-two trillion, three hundred eleven billion, four hundred twenty-two million, four hundred eleven thousand, three hundred twenty-one".

Divisors: 1 31 961 23216880761 719723303591 22311422411321