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1111001112 = 2332135572131
BaseRepresentation
bin100001000111000…
…1000100000011000
32212102112201000100
41002032020200120
54233404013422
6302124335400
736350232204
oct10216104030
92772481010
101111001112
11520149641
122700a4560
13149233110
14a77a3b04
156780a7ac
hex42388818

1111001112 has 96 divisors (see below), whose sum is σ = 3247760880. Its totient is φ = 341072640.

The previous prime is 1111001053. The next prime is 1111001141. The reversal of 1111001112 is 2111001111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1111001094 and 1111001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520287 + ... + 522417.

Almost surely, 21111001112 is an apocalyptic number.

1111001112 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 1111001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623880440).

1111001112 is an abundant number, since it is smaller than the sum of its proper divisors (2136759768).

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

1111001112 is a wasteful number, since it uses less digits than its factorization.

1111001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1111001112 is about 33331.6833058278. The cubic root of 1111001112 is about 1035.7099882420.

Adding to 1111001112 its reverse (2111001111), we get a palindrome (3222002223).

Subtracting 1111001112 from its reverse (2111001111), we obtain a palindrome (999999999).

The spelling of 1111001112 in words is "one billion, one hundred eleven million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 557 936 1114 1671 2131 2228 3342 4262 4456 5013 6393 6684 7241 8524 10026 12786 13368 14482 17048 19179 20052 21723 25572 27703 28964 38358 40104 43446 51144 55406 57928 65169 76716 83109 86892 110812 130338 153432 166218 173784 221624 249327 260676 332436 498654 521352 664872 997308 1186967 1994616 2373934 3560901 4747868 7121802 9495736 10682703 14243604 15430571 21365406 28487208 30861142 42730812 46291713 61722284 85461624 92583426 123444568 138875139 185166852 277750278 370333704 555500556 1111001112