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1000110332001 = 31137819091181
BaseRepresentation
bin11101000110110110011…
…10001001100001100001
310112121110102000212112110
432203123032021201201
5112341211221111001
62043235551145533
7132153444362454
oct16433316114141
93477412025473
101000110332001
11356165233a70
121419b2b152a9
13734050b9051
1436596d6749b
151b0362ac3d6
hexe8db389861

1000110332001 has 16 divisors (see below), whose sum is σ = 1494022315968. Its totient is φ = 589745649600.

The previous prime is 1000110331963. The next prime is 1000110332009. The reversal of 1000110332001 is 1002330110001.

It is not a de Polignac number, because 1000110332001 - 222 = 1000106137697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000110332009) 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, 409544370 + ... + 409546811.

It is an arithmetic number, because the mean of its divisors is an integer number (93376394748).

Almost surely, 21000110332001 is an apocalyptic number.

1000110332001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000110332001 is a deficient number, since it is larger than the sum of its proper divisors (493911983967).

1000110332001 is a wasteful number, since it uses less digits than its factorization.

1000110332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819091232.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1000110332001 its reverse (1002330110001), we get a palindrome (2002440442002).

The spelling of 1000110332001 in words is "one trillion, one hundred ten million, three hundred thirty-two thousand, one".

Divisors: 1 3 11 33 37 111 407 1221 819091181 2457273543 9010002991 27030008973 30306373697 90919121091 333370110667 1000110332001