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1010010100011 = 311431663342793
BaseRepresentation
bin11101011001010010100…
…10110001000100101011
310120120000100012012012220
432230221102301010223
5113022000041200021
62051554153405123
7132653664125043
oct16545122610453
93516010165186
101010010100011
1135a385409220
121438b64097a3
13743220b1243
1436c55a78723
151b41546bcc6
hexeb294b112b

1010010100011 has 32 divisors (see below), whose sum is σ = 1503396356352. Its totient is φ = 597841896960.

The previous prime is 1010010100009. The next prime is 1010010100091. The reversal of 1010010100011 is 1100010100101.

It is not a de Polignac number, because 1010010100011 - 21 = 1010010100009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010010100091) 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 31 ways as a sum of consecutive naturals, for example, 23580831 + ... + 23623623.

It is an arithmetic number, because the mean of its divisors is an integer number (46981136136).

Almost surely, 21010010100011 is an apocalyptic number.

1010010100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010010100011 is a deficient number, since it is larger than the sum of its proper divisors (493386256341).

1010010100011 is a wasteful number, since it uses less digits than its factorization.

1010010100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59483.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010010100011 its reverse (1100010100101), we get a palindrome (2110020200112).

The spelling of 1010010100011 in words is "one trillion, ten billion, ten million, one hundred thousand, eleven".

Divisors: 1 3 11 33 43 129 473 1419 16633 42793 49899 128379 182963 470723 548889 715219 1412169 1840099 2145657 5520297 7867409 20241089 23602227 60723267 711775969 2135327907 7829535659 23488606977 30606366667 91819100001 336670033337 1010010100011