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1111130112 = 215389127
BaseRepresentation
bin100001000111010…
…1000000000000000
32212102210020222010
41002032220000000
54233422130422
6302131212520
736351310251
oct10216500000
92772706863
101111130112
11520227554
12270147140
13149279a51
14a77d8b28
1567833b0c
hex423a8000

1111130112 has 128 divisors (see below), whose sum is σ = 3019852800. Its totient is φ = 363331584.

The previous prime is 1111130093. The next prime is 1111130131. The reversal of 1111130112 is 2110311111.

It is an interprime number because it is at equal distance from previous prime (1111130093) and next prime (1111130131).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11111301122 = 2469220251586265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8748993 + ... + 8749119.

It is an arithmetic number, because the mean of its divisors is an integer number (23592600).

Almost surely, 21111130112 is an apocalyptic number.

1111130112 is a gapful number since it is divisible by the number (12) 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 1111130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509926400).

1111130112 is an abundant number, since it is smaller than the sum of its proper divisors (1908722688).

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

1111130112 is an frugal number, since it uses more digits than its factorization.

1111130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1111130112 is about 33333.6183454482. The cubic root of 1111130112 is about 1035.7500726356.

Adding to 1111130112 its reverse (2110311111), we get a palindrome (3221441223).

The spelling of 1111130112 in words is "one billion, one hundred eleven million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 127 128 178 192 254 256 267 356 381 384 508 512 534 712 762 768 1016 1024 1068 1424 1524 1536 2032 2048 2136 2848 3048 3072 4064 4096 4272 5696 6096 6144 8128 8192 8544 11303 11392 12192 12288 16256 16384 17088 22606 22784 24384 24576 32512 32768 33909 34176 45212 45568 48768 49152 65024 67818 68352 90424 91136 97536 98304 130048 135636 136704 180848 182272 195072 260096 271272 273408 361696 364544 390144 520192 542544 546816 723392 729088 780288 1040384 1085088 1093632 1446784 1458176 1560576 2080768 2170176 2187264 2893568 2916352 3121152 4161536 4340352 4374528 5787136 6242304 8680704 8749056 11574272 12484608 17361408 23148544 34722816 46297088 69445632 92594176 138891264 185188352 277782528 370376704 555565056 1111130112