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1000041022101 = 311239126796123
BaseRepresentation
bin11101000110101110001…
…01110000001010010101
310112121021120121120020010
432203113011300022111
5112341041000201401
62043225033430433
7132151643302002
oct16432705601225
93477246546203
101000041022101
1135612a0a4460
1214199386b419
13733c392c684
143658ba848a9
151b03016aed6
hexe8d7170295

1000041022101 has 16 divisors (see below), whose sum is σ = 1460691348480. Its totient is φ = 603549540720.

The previous prime is 1000041022073. The next prime is 1000041022103. The reversal of 1000041022101 is 1012201400001.

It is a happy number.

It is not a de Polignac number, because 1000041022101 - 217 = 1000040891029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000041022103) 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 15 ways as a sum of consecutive naturals, for example, 63390175 + ... + 63405948.

It is an arithmetic number, because the mean of its divisors is an integer number (91293209280).

Almost surely, 21000041022101 is an apocalyptic number.

1000041022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000041022101 is a deficient number, since it is larger than the sum of its proper divisors (460650326379).

1000041022101 is a wasteful number, since it uses less digits than its factorization.

1000041022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126796376.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000041022101 its reverse (1012201400001), we get a palindrome (2012242422102).

The spelling of 1000041022101 in words is "one trillion, forty-one million, twenty-two thousand, one hundred one".

Divisors: 1 3 11 33 239 717 2629 7887 126796123 380388369 1394757353 4184272059 30304273397 90912820191 333347007367 1000041022101