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22314241104331 = 1121112441393671
BaseRepresentation
bin1010001001011011100000…
…11010100001100111001011
32221000012221211101102220111
411010231300122201213023
510411044031210314311
6115243004300335151
74462102460603041
oct504556032414713
987005854342814
1022314241104331
117123464410630
1226047962444b7
13c5b2bac02257
1457202d368391
1528a6a08cdd21
hex144b706a19cb

22314241104331 has 16 divisors (see below), whose sum is σ = 24364378976256. Its totient is φ = 20267706280000.

The previous prime is 22314241104263. The next prime is 22314241104349. The reversal of 22314241104331 is 13340114241322.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22314241104331 is a prime.

It is a super-3 number, since 3×223142411043313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22314241104293 and 22314241104302.

It is not an unprimeable number, because it can be changed into a prime (22314241174331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56485626 + ... + 56879296.

It is an arithmetic number, because the mean of its divisors is an integer number (1522773686016).

Almost surely, 222314241104331 is an apocalyptic number.

22314241104331 is a deficient number, since it is larger than the sum of its proper divisors (2050137871925).

22314241104331 is a wasteful number, since it uses less digits than its factorization.

22314241104331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398234.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 22314241104331 its reverse (13340114241322), we get a palindrome (35654355345653).

The spelling of 22314241104331 in words is "twenty-two trillion, three hundred fourteen billion, two hundred forty-one million, one hundred four thousand, three hundred thirty-one".

Divisors: 1 11 2111 2441 23221 26851 393671 4330381 5152951 56682461 831039481 960950911 9141434291 10570460021 2028567373121 22314241104331