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11442122001 = 328329152641
BaseRepresentation
bin10101010100000000…
…01110110100010001
31002112102101000121100
422222000032310101
5141413140401001
65131220215013
7553355301162
oct125200166421
932472330540
1011442122001
114941863682
122273b3a469
1311046c65bb
147a78bb769
1546e7c3586
hex2aa00ed11

11442122001 has 12 divisors (see below), whose sum is σ = 16529602180. Its totient is φ = 7627115520.

The previous prime is 11442121997. The next prime is 11442122011. The reversal of 11442122001 is 10022124411.

11442122001 is a `hidden beast` number, since 1 + 1 + 442 + 1 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 719312400 + 10722809601 = 26820^2 + 103551^2 .

It is not a de Polignac number, because 11442122001 - 22 = 11442121997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11442122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1360 + ... + 151281.

Almost surely, 211442122001 is an apocalyptic number.

It is an amenable number.

11442122001 is a deficient number, since it is larger than the sum of its proper divisors (5087480179).

11442122001 is a wasteful number, since it uses less digits than its factorization.

11442122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160976 (or 160973 counting only the distinct ones).

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

Adding to 11442122001 its reverse (10022124411), we get a palindrome (21464246412).

The spelling of 11442122001 in words is "eleven billion, four hundred forty-two million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 8329 24987 74961 152641 457923 1373769 1271346889 3814040667 11442122001