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22013111132321 is a prime number
BaseRepresentation
bin1010000000101010100111…
…01010110110000010100001
32212221102200120012212222012
411000111103222312002201
510341130322422213241
6114452403400122305
74431252262223351
oct500252352660241
985842616185865
1022013111132321
117017787398671
122576356466395
13c38a9ac5a66a
14561624124b61
15282928e186eb
hex140553ab60a1

22013111132321 has 2 divisors, whose sum is σ = 22013111132322. Its totient is φ = 22013111132320.

The previous prime is 22013111132297. The next prime is 22013111132347. The reversal of 22013111132321 is 12323111131022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21683737296400 + 329373835921 = 4656580^2 + 573911^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22013111132321 is a prime.

It is not a weakly prime, because it can be changed into another prime (22013111132521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11006555566160 + 11006555566161.

It is an arithmetic number, because the mean of its divisors is an integer number (11006555566161).

Almost surely, 222013111132321 is an apocalyptic number.

It is an amenable number.

22013111132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22013111132321 is an equidigital number, since it uses as much as digits as its factorization.

22013111132321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 22013111132321 its reverse (12323111131022), we get a palindrome (34336222263343).

The spelling of 22013111132321 in words is "twenty-two trillion, thirteen billion, one hundred eleven million, one hundred thirty-two thousand, three hundred twenty-one".