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1111112000 = 2653138889
BaseRepresentation
bin100001000111010…
…0011100101000000
32212102202100010022
41002032203211000
54233421041000
6302130553012
736351203405
oct10216434500
92772670108
101111112000
11520214989
12270138768
1314927172b
14a77d22ac
156782d585
hex423a3940

1111112000 has 56 divisors (see below), whose sum is σ = 2751688680. Its totient is φ = 444441600.

The previous prime is 1111111999. The next prime is 1111112021. The reversal of 1111112000 is 2111111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 346257664 + 764854336 = 18608^2 + 27656^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 7 ways as a sum of consecutive naturals, for example, 61445 + ... + 77444.

Almost surely, 21111112000 is an apocalyptic number.

1111112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111112000 is an abundant number, since it is smaller than the sum of its proper divisors (1640576680).

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

1111112000 is an equidigital number, since it uses as much as digits as its factorization.

1111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138916 (or 138896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1111112000 is about 33333.3466666640. The cubic root of 1111112000 is about 1035.7444448497.

Adding to 1111112000 its reverse (2111111), we get a palindrome (1113223111).

It can be divided in two parts, 111 and 1112000, that added together give a palindrome (1112111).

The spelling of 1111112000 in words is "one billion, one hundred eleven million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 138889 277778 555556 694445 1111112 1388890 2222224 2777780 3472225 4444448 5555560 6944450 8888896 11111120 13888900 17361125 22222240 27777800 34722250 44444480 55555600 69444500 111111200 138889000 222222400 277778000 555556000 1111112000