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1022221221201 = 323714449212453
BaseRepresentation
bin11101110000000010010…
…00011111110101010001
310121201112100120102101200
432320001020133311101
5113222002113034301
62101334004221413
7133565411005335
oct16700110376521
93551470512350
101022221221201
11364581259314
1214614399a869
1375519bc503b
14376937317c5
151b8cc4e1c86
hexee0121fd51

1022221221201 has 24 divisors (see below), whose sum is σ = 1516560388200. Its totient is φ = 663013403136.

The previous prime is 1022221221181. The next prime is 1022221221223. The reversal of 1022221221201 is 1021221222201.

It is a happy number.

1022221221201 is a `hidden beast` number, since 1 + 0 + 22 + 221 + 221 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 721478661201 + 300742560000 = 849399^2 + 548400^2 .

It is not a de Polignac number, because 1022221221201 - 210 = 1022221220177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022221221001) 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 23 ways as a sum of consecutive naturals, for example, 4705291 + ... + 4917743.

It is an arithmetic number, because the mean of its divisors is an integer number (63190016175).

Almost surely, 21022221221201 is an apocalyptic number.

It is an amenable number.

1022221221201 is a deficient number, since it is larger than the sum of its proper divisors (494339166999).

1022221221201 is a wasteful number, since it uses less digits than its factorization.

1022221221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226945 (or 226942 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022221221201 its reverse (1021221222201), we get a palindrome (2043442443402).

The spelling of 1022221221201 in words is "one trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 37 111 333 14449 43347 130041 212453 534613 637359 1603839 1912077 4811517 7860761 23582283 70746849 3069733397 9209200191 27627600573 113580135689 340740407067 1022221221201