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1022342240201 = 34331331322369
BaseRepresentation
bin11101110000010000101…
…10001001011111001001
310121201211210021211020212
432320020112021133021
5113222224103141301
62101354010130505
7133601410442402
oct16701026113711
93551753254225
101022342240201
113646335a6717
12146178420a35
1375538cb7a09
14376a58349a9
151b8d7e494bb
hexee085897c9

1022342240201 has 8 divisors (see below), whose sum is σ = 1022762574120. Its totient is φ = 1021921984512.

The previous prime is 1022342240159. The next prime is 1022342240203. The reversal of 1022342240201 is 1020422432201.

It can be written as a sum of positive squares in 4 ways, for example, as 45081480976 + 977260759225 = 212324^2 + 988565^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1022342240201 - 218 = 1022341978057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022342240203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45692345 + ... + 45714713.

It is an arithmetic number, because the mean of its divisors is an integer number (127845321765).

Almost surely, 21022342240201 is an apocalyptic number.

It is an amenable number.

1022342240201 is a deficient number, since it is larger than the sum of its proper divisors (420333919).

1022342240201 is a wasteful number, since it uses less digits than its factorization.

1022342240201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39115.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1022342240201 its reverse (1020422432201), we get a palindrome (2042764672402).

The spelling of 1022342240201 in words is "one trillion, twenty-two billion, three hundred forty-two million, two hundred forty thousand, two hundred one".

Divisors: 1 3433 13313 22369 45703529 76792777 297798497 1022342240201