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1111003320 = 2335710312841
BaseRepresentation
bin100001000111000…
…1001000010111000
32212102112211001010
41002032021002320
54233404101240
6302124353520
736350241510
oct10216110270
92772484033
101111003320
11520150269
122700a58a0
1314923411b
14a77a4840
156780b280
hex423890b8

1111003320 has 128 divisors (see below), whose sum is σ = 3846435840. Its totient is φ = 251458560.

The previous prime is 1111003303. The next prime is 1111003357. The reversal of 1111003320 is 233001111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1111003296 and 1111003305.

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 31 ways as a sum of consecutive naturals, for example, 80100 + ... + 92940.

It is an arithmetic number, because the mean of its divisors is an integer number (30050280).

Almost surely, 21111003320 is an apocalyptic number.

1111003320 is a gapful number since it is divisible by the number (10) 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 1111003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923217920).

1111003320 is an abundant number, since it is smaller than the sum of its proper divisors (2735432520).

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

1111003320 is a wasteful number, since it uses less digits than its factorization.

1111003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965 (or 12961 counting only the distinct ones).

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

The square root of 1111003320 is about 33331.7164274509. The cubic root of 1111003320 is about 1035.7106743637.

Adding to 1111003320 its reverse (233001111), we get a palindrome (1344004431).

The spelling of 1111003320 in words is "one billion, one hundred eleven million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 721 824 840 1030 1236 1442 1545 2060 2163 2472 2884 3090 3605 4120 4326 5768 6180 7210 8652 10815 12360 12841 14420 17304 21630 25682 28840 38523 43260 51364 64205 77046 86520 89887 102728 128410 154092 179774 192615 256820 269661 308184 359548 385230 449435 513640 539322 719096 770460 898870 1078644 1322623 1348305 1540920 1797740 2157288 2645246 2696610 3595480 3967869 5290492 5393220 6613115 7935738 9258361 10580984 10786440 13226230 15871476 18516722 19839345 26452460 27775083 31742952 37033444 39678690 46291805 52904920 55550166 74066888 79357380 92583610 111100332 138875415 158714760 185167220 222200664 277750830 370334440 555501660 1111003320