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1112442111 = 321137833659
BaseRepresentation
bin100001001001110…
…1000010011111111
32212112020220200200
41002103220103333
54234241121421
6302215254543
736365413314
oct10223502377
92775226620
101112442111
11520a43250
1227067a453
13149618c91
14a7a5ad0b
15679e2726
hex424e84ff

1112442111 has 48 divisors (see below), whose sum is σ = 1822504320. Its totient is φ = 647904960.

The previous prime is 1112442103. The next prime is 1112442131.

1112442111 is a `hidden beast` number, since 1 + 112 + 442 + 111 = 666.

1112442111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1112442111 - 23 = 1112442103 is a prime.

It is a super-2 number, since 2×11124421112 = 2475054900652272642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112442131) 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, 302200 + ... + 305858.

It is an arithmetic number, because the mean of its divisors is an integer number (37968840).

Almost surely, 21112442111 is an apocalyptic number.

1112442111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1112442111 is a deficient number, since it is larger than the sum of its proper divisors (710062209).

1112442111 is a wasteful number, since it uses less digits than its factorization.

1112442111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3793 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1112442111 is about 33353.2923562277. The cubic root of 1112442111 is about 1036.1575762336.

It can be divided in two parts, 11124 and 42111, that added together give a palindrome (53235).

The spelling of 1112442111 in words is "one billion, one hundred twelve million, four hundred forty-two thousand, one hundred eleven".

Divisors: 1 3 9 11 33 37 83 99 111 249 333 407 747 913 1221 2739 3071 3659 3663 8217 9213 10977 27639 32931 33781 40249 101343 120747 135383 303697 304029 362241 406149 911091 1218447 1489213 2733273 3340667 4467639 10022001 11236789 13402917 30066003 33710367 101131101 123604679 370814037 1112442111