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110011120011 = 32134799292113
BaseRepresentation
bin110011001110100101…
…1000111100110001011
3101111221212022221011100
41212131023013212023
53300300321320021
6122312144032443
710643115043212
oct1463513074613
9344855287140
10110011120011
1142723455801
12193a2602723
13a4b28c14b0
14547887a079
152cdd092626
hex199d2c798b

110011120011 has 48 divisors (see below), whose sum is σ = 171751507200. Its totient is φ = 67453157376.

The previous prime is 110011120003. The next prime is 110011120027. The reversal of 110011120011 is 110021110011.

It is not a de Polignac number, because 110011120011 - 23 = 110011120003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110011119975 and 110011120002.

It is not an unprimeable number, because it can be changed into a prime (110011100011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52062891 + ... + 52065003.

It is an arithmetic number, because the mean of its divisors is an integer number (3578156400).

Almost surely, 2110011120011 is an apocalyptic number.

110011120011 is a deficient number, since it is larger than the sum of its proper divisors (61740387189).

110011120011 is a wasteful number, since it uses less digits than its factorization.

110011120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110011120011 its reverse (110021110011), we get a palindrome (220032230022).

The spelling of 110011120011 in words is "one hundred ten billion, eleven million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 13 39 117 479 929 1437 2113 2787 4311 6227 6339 8361 12077 18681 19017 27469 36231 56043 82407 108693 247221 444991 1012127 1334973 1962977 3036381 4004919 5784883 5888931 9109143 13157651 17354649 17666793 25518701 39472953 52063947 76556103 118418859 229668309 940265983 2820797949 8462393847 12223457779 36670373337 110011120011