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1111004412 = 223731213763
BaseRepresentation
bin100001000111000…
…1001010011111100
32212102112212112120
41002032021103330
54233404120122
6302124402540
736350244630
oct10216112374
92772485476
101111004412
11520151071
122700a6450
1314923477b
14a77a4dc0
156780b75c
hex423894fc

1111004412 has 72 divisors (see below), whose sum is σ = 3061554048. Its totient is φ = 307167840.

The previous prime is 1111004399. The next prime is 1111004431. The reversal of 1111004412 is 2144001111.

It is a junction number, because it is equal to n+sod(n) for n = 1111004391 and 1111004400.

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, 73843 + ... + 87605.

It is an arithmetic number, because the mean of its divisors is an integer number (42521584).

Almost surely, 21111004412 is an apocalyptic number.

1111004412 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 1111004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530777024).

1111004412 is an abundant number, since it is smaller than the sum of its proper divisors (1950549636).

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

1111004412 is a wasteful number, since it uses less digits than its factorization.

1111004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13839 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1111004412 is about 33331.7328082415. The cubic root of 1111004412 is about 1035.7110136953.

Adding to 1111004412 its reverse (2144001111), we get a palindrome (3255005523).

The spelling of 1111004412 in words is "one billion, one hundred eleven million, four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1922 2604 2883 3844 5766 6727 11532 13454 13763 20181 26908 27526 40362 41289 55052 80724 82578 96341 165156 192682 289023 385364 426653 578046 853306 1156092 1279959 1706612 2559918 2986571 5119836 5973142 8959713 11946284 13226243 17919426 26452486 35838852 39678729 52904972 79357458 92583701 158714916 185167402 277751103 370334804 555502206 1111004412