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1112102112 = 2531110110427
BaseRepresentation
bin100001001001001…
…0101010011100000
32212111121122022010
41002102111103200
54234144231422
6302204112520
736362466132
oct10222252340
92774548263
101112102112
11520830860
12270535740
1314952a2b4
14a79ad052
1567976b0c
hex424954e0

1112102112 has 96 divisors (see below), whose sum is σ = 3216495744. Its totient is φ = 333632000.

The previous prime is 1112102087. The next prime is 1112102137. The reversal of 1112102112 is 2112012111.

It is an interprime number because it is at equal distance from previous prime (1112102087) and next prime (1112102137).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11121021122 = 2473542215029721088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101443 + ... + 111869.

It is an arithmetic number, because the mean of its divisors is an integer number (33505164).

Almost surely, 21112102112 is an apocalyptic number.

1112102112 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 1112102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608247872).

1112102112 is an abundant number, since it is smaller than the sum of its proper divisors (2104393632).

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

1112102112 is a wasteful number, since it uses less digits than its factorization.

1112102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1112102112 is about 33348.1950336146. The cubic root of 1112102112 is about 1036.0520041674.

Adding to 1112102112 its reverse (2112012111), we get a palindrome (3224114223).

Subtracting 1112102112 from its reverse (2112012111), we obtain a palindrome (999909999).

The spelling of 1112102112 in words is "one billion, one hundred twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9696 10427 13332 17776 20854 26664 31281 35552 41708 53328 62562 83416 106656 114697 125124 166832 229394 250248 333664 344091 458788 500496 688182 917576 1000992 1053127 1376364 1835152 2106254 2752728 3159381 3670304 4212508 5505456 6318762 8425016 11010912 11584397 12637524 16850032 23168794 25275048 33700064 34753191 46337588 50550096 69506382 92675176 101100192 139012764 185350352 278025528 370700704 556051056 1112102112