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2111441112 = 2332113772053
BaseRepresentation
bin111110111011010…
…0000100011011000
312110011001022200200
41331312200203120
513311012103422
6545303302200
7103215644664
oct17566404330
95404038620
102111441112
11993942a60
124ab14a960
13278595651
141605c78a4
15c55772ac
hex7dda08d8

2111441112 has 96 divisors (see below), whose sum is σ = 6407041680. Its totient is φ = 622529280.

The previous prime is 2111441099. The next prime is 2111441119.

2111441112 is a `hidden beast` number, since 2 + 111 + 441 + 112 = 666.

2111441112 is nontrivially palindromic in base 10.

2111441112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111441119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6723 + ... + 65330.

Almost surely, 22111441112 is an apocalyptic number.

2111441112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203520840).

2111441112 is an abundant number, since it is smaller than the sum of its proper divisors (4295600568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111441112 is a wasteful number, since it uses less digits than its factorization.

2111441112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72113 (or 72106 counting only the distinct ones).

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

The square root of 2111441112 is about 45950.4201504186. The cubic root of 2111441112 is about 1282.9005495112.

It can be divided in two parts, 21114 and 41112, that added together give a palindrome (62226).

The spelling of 2111441112 in words is "two billion, one hundred eleven million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7326 9768 14652 29304 72053 144106 216159 288212 432318 576424 648477 792583 864636 1296954 1585166 1729272 2377749 2593908 2665961 3170332 4755498 5187816 5331922 6340664 7133247 7997883 9510996 10663844 14266494 15995766 19021992 21327688 23993649 28532988 29325571 31991532 47987298 57065976 58651142 63983064 87976713 95974596 117302284 175953426 191949192 234604568 263930139 351906852 527860278 703813704 1055720556 2111441112