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10222322327201 is a prime number
BaseRepresentation
bin1001010011000001000111…
…1001000001111010100001
31100012020121012220122121002
42110300101321001322201
52314440304003432301
633424023044041345
72103352451060405
oct224602171017241
940166535818532
1010222322327201
113291298505016
1211911a3093255
13591c65013c1a
14274a97ad7105
1512ad8ce6516b
hex94c11e41ea1

10222322327201 has 2 divisors, whose sum is σ = 10222322327202. Its totient is φ = 10222322327200.

The previous prime is 10222322327183. The next prime is 10222322327279. The reversal of 10222322327201 is 10272322322201.

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., 9530655654976 + 691666672225 = 3087176^2 + 831665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222322327201 is a prime.

It is a super-2 number, since 2×102223223272012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10222322327291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111161163600 + 5111161163601.

It is an arithmetic number, because the mean of its divisors is an integer number (5111161163601).

Almost surely, 210222322327201 is an apocalyptic number.

It is an amenable number.

10222322327201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222322327201 is an equidigital number, since it uses as much as digits as its factorization.

10222322327201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 10222322327201 its reverse (10272322322201), we get a palindrome (20494644649402).

It can be divided in two parts, 1022232 and 2327201, that added together give a palindrome (3349433).

The spelling of 10222322327201 in words is "ten trillion, two hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-seven thousand, two hundred one".