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1010011101011 = 117310113790901
BaseRepresentation
bin11101011001010010101…
…10100101011101010011
310120120000102002001022222
432230221112211131103
5113022000320213021
62051554231051255
7132654005464313
oct16545126453523
93516012061288
101010011101011
1135a385a322a0
121438b6810b2b
1374322371a53
1436c55c59443
151b4155b86ab
hexeb295a5753

1010011101011 has 32 divisors (see below), whose sum is σ = 1136228458176. Its totient is φ = 890092800000.

The previous prime is 1010011101007. The next prime is 1010011101017. The reversal of 1010011101011 is 1101011100101.

It is not a de Polignac number, because 1010011101011 - 22 = 1010011101007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010011101011.

It is not an unprimeable number, because it can be changed into a prime (1010011101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11065661 + ... + 11156561.

It is an arithmetic number, because the mean of its divisors is an integer number (35507139318).

Almost surely, 21010011101011 is an apocalyptic number.

1010011101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010011101011 is a deficient number, since it is larger than the sum of its proper divisors (126217357165).

1010011101011 is a wasteful number, since it uses less digits than its factorization.

1010011101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91223.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1010011101011 its reverse (1101011100101), we get a palindrome (2111022201112).

It can be divided in two parts, 10100 and 11101011, that added together give a palindrome (11111111).

The spelling of 1010011101011 in words is "one trillion, ten billion, eleven million, one hundred one thousand, eleven".

Divisors: 1 11 73 101 137 803 1111 1507 7373 10001 13837 81103 90901 110011 152207 999911 1010101 6635773 9181001 11111111 12453437 72993503 100991011 136987807 670213073 909100901 1257797137 7372343803 10000109911 13835768507 91819191001 1010011101011