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110012210011 = 1159290958271
BaseRepresentation
bin110011001110100111…
…1010001101101011011
3101111221221101022100201
41212131033101231123
53300301111210021
6122312223243031
710643130233104
oct1463517215533
9344857338321
10110012210011
114272402a730
12193a2a49477
13a4b2bb3672
145478a813ab
152cdd20a591
hex199d3d1b5b

110012210011 has 16 divisors (see below), whose sum is σ = 122091494400. Its totient is φ = 98280512800.

The previous prime is 110012210003. The next prime is 110012210051.

110012210011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 110012210011 - 23 = 110012210003 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 110012210011.

It is not an unprimeable number, because it can be changed into a prime (110012210051) 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, 1858806 + ... + 1917076.

It is an arithmetic number, because the mean of its divisors is an integer number (7630718400).

Almost surely, 2110012210011 is an apocalyptic number.

110012210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110012210011 is a deficient number, since it is larger than the sum of its proper divisors (12079284389).

110012210011 is a wasteful number, since it uses less digits than its factorization.

110012210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61250.

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

It can be divided in two parts, 110012 and 210011, that multiplied together give a palindrome (23103730132).

The spelling of 110012210011 in words is "one hundred ten billion, twelve million, two hundred ten thousand, eleven".

Divisors: 1 11 59 649 2909 31999 58271 171631 640981 1887941 3437989 37817879 169510339 1864613729 10001110001 110012210011