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11003300112 = 2437233140549
BaseRepresentation
bin10100011111101100…
…10000100100010000
31001101211122120010210
422033312100210100
5140013321100422
65015502524120
7536446336110
oct121766204420
931354576123
1011003300112
114737092262
122170b96640
13106481178c
147654cd040
15445ee210c
hex28fd90910

11003300112 has 80 divisors (see below), whose sum is σ = 32625590400. Its totient is φ = 3130285056.

The previous prime is 11003300111. The next prime is 11003300129. The reversal of 11003300112 is 21100330011.

It is a super-2 number, since 2×110033001122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11003300111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8014 + ... + 148562.

It is an arithmetic number, because the mean of its divisors is an integer number (407819880).

Almost surely, 211003300112 is an apocalyptic number.

11003300112 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 11003300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312795200).

11003300112 is an abundant number, since it is smaller than the sum of its proper divisors (21622290288).

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

11003300112 is a wasteful number, since it uses less digits than its factorization.

11003300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140800 (or 140794 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11003300112 its reverse (21100330011), we get a palindrome (32103630123).

It can be divided in two parts, 1100330011 and 2, that multiplied together give a palindrome (2200660022).

The spelling of 11003300112 in words is "eleven billion, three million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 9786 11184 13048 19572 26096 39144 78288 140549 281098 421647 562196 843294 983843 1124392 1686588 1967686 2248784 2951529 3373176 3935372 5903058 6746352 7870744 11806116 15741488 23612232 32747917 47224464 65495834 98243751 130991668 196487502 229235419 261983336 392975004 458470838 523966672 687706257 785950008 916941676 1375412514 1571900016 1833883352 2750825028 3667766704 5501650056 11003300112