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1010000222201 = 29415211630429
BaseRepresentation
bin11101011001010001011…
…01000101011111111001
310120112222122121100102002
432230220231011133321
5113021440024102301
62051553201550345
7132653514144545
oct16545055053771
93515878540362
101010000222201
1135a37a881943
121438b30453b5
1374320033199
1436c54626a25
151b41466a16b
hexeb28b457f9

1010000222201 has 16 divisors (see below), whose sum is σ = 1072366419600. Its totient is φ = 949561267200.

The previous prime is 1010000222159. The next prime is 1010000222213. The reversal of 1010000222201 is 1022220000101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 246606594025 + 763393628176 = 496595^2 + 873724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010000222201 - 210 = 1010000221177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010000222281) 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 15 ways as a sum of consecutive naturals, for example, 195746 + ... + 1434683.

It is an arithmetic number, because the mean of its divisors is an integer number (67022901225).

Almost surely, 21010000222201 is an apocalyptic number.

It is an amenable number.

1010000222201 is a deficient number, since it is larger than the sum of its proper divisors (62366197399).

1010000222201 is a wasteful number, since it uses less digits than its factorization.

1010000222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631020.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1010000222201 its reverse (1022220000101), we get a palindrome (2032220222302).

The spelling of 1010000222201 in words is "one trillion, ten billion, two hundred twenty-two thousand, two hundred one".

Divisors: 1 29 41 521 1189 15109 21361 619469 1630429 47282441 66847589 849453509 1938580081 24634151761 34827593869 1010000222201