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1000012022001 = 32111112446889
BaseRepresentation
bin11101000110101010101…
…11001000000011110001
310112121012120001012120100
432203111113020003301
5112341011034201001
62043222120103013
7132151141636416
oct16432527100361
93477176035510
101000012022001
11356114797233
12141986004a69
13733ba917855
1436587c9610d
151b02c83d586
hexe8d55c80f1

1000012022001 has 6 divisors (see below), whose sum is σ = 1444461809570. Its totient is φ = 666674681328.

The previous prime is 1000012021997. The next prime is 1000012022059. The reversal of 1000012022001 is 1002202100001.

It can be written as a sum of positive squares in only one way, i.e., 905885168400 + 94126853601 = 951780^2 + 306801^2 .

It is not a de Polignac number, because 1000012022001 - 22 = 1000012021997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111112446889 = 1000012022001 / (1 + 0 + 0 + 0 + 0 + 1 + 2 + 0 + 2 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000012022101) 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 5 ways as a sum of consecutive naturals, for example, 55556223436 + ... + 55556223453.

Almost surely, 21000012022001 is an apocalyptic number.

It is an amenable number.

1000012022001 is a deficient number, since it is larger than the sum of its proper divisors (444449787569).

1000012022001 is a wasteful number, since it uses less digits than its factorization.

1000012022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111112446895 (or 111112446892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000012022001 its reverse (1002202100001), we get a palindrome (2002214122002).

The spelling of 1000012022001 in words is "one trillion, twelve million, twenty-two thousand, one".

Divisors: 1 3 9 111112446889 333337340667 1000012022001