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110021120011 = 11231393128533
BaseRepresentation
bin110011001110111000…
…1010001000000001011
3101111222120010222120201
41212131301101000023
53300310401320021
6122313142233031
710643266042555
oct1463561210013
9344876128521
10110021120011
1142729065970
12193a5a25777
13a4b49b305a
145479d204d5
152cdddba591
hex199dc5100b

110021120011 has 16 divisors (see below), whose sum is σ = 126142490880. Its totient is φ = 94982231520.

The previous prime is 110021119993. The next prime is 110021120089.

110021120011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110021120011 - 211 = 110021117963 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 110021120011.

It is not an unprimeable number, because it can be changed into a prime (110021123011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529100 + ... + 1599433.

It is an arithmetic number, because the mean of its divisors is an integer number (7883905680).

Almost surely, 2110021120011 is an apocalyptic number.

110021120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110021120011 is a deficient number, since it is larger than the sum of its proper divisors (16121370869).

110021120011 is a wasteful number, since it uses less digits than its factorization.

110021120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128706.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 110021 and 120011, that multiplied together give a palindrome (13203730231).

The spelling of 110021120011 in words is "one hundred ten billion, twenty-one million, one hundred twenty thousand, eleven".

Divisors: 1 11 23 139 253 1529 3197 35167 3128533 34413863 71956259 434866087 791518849 4783526957 10001920001 110021120011