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10222466422201 = 11929315129291
BaseRepresentation
bin1001010011000001101001…
…1110101101010110111001
31100012020222021001102202221
42110300122132231112321
52314441102401002301
633424045232324041
72103356150624425
oct224603236552671
940166867042687
1010222466422201
1132913618837a0
1211912233a3621
13591c88b26137
14274aaccc5b85
1512ad9a929da1
hex94c1a7ad5b9

10222466422201 has 4 divisors (see below), whose sum is σ = 11151781551504. Its totient is φ = 9293151292900.

The previous prime is 10222466422193. The next prime is 10222466422211.

It is a happy number.

10222466422201 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10222466422201 - 23 = 10222466422193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222466422211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464657564635 + ... + 464657564656.

It is an arithmetic number, because the mean of its divisors is an integer number (2787945387876).

Almost surely, 210222466422201 is an apocalyptic number.

10222466422201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222466422201 is a deficient number, since it is larger than the sum of its proper divisors (929315129303).

10222466422201 is an equidigital number, since it uses as much as digits as its factorization.

10222466422201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929315129302.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 1022246 and 6422201, that added together give a palindrome (7444447).

The spelling of 10222466422201 in words is "ten trillion, two hundred twenty-two billion, four hundred sixty-six million, four hundred twenty-two thousand, two hundred one".

Divisors: 1 11 929315129291 10222466422201