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1103300040 = 2335371911301
BaseRepresentation
bin100000111000011…
…0000010111001000
32211220001110010110
41001300300113020
54224421100130
6301251314320
736224616123
oct10160602710
92756043113
101103300040
11516869717
122695ab9a0
13147767a7b
14a675b3ba
1566cd8ab0
hex41c305c8

1103300040 has 128 divisors (see below), whose sum is σ = 3419781120. Its totient is φ = 284544000.

The previous prime is 1103300039. The next prime is 1103300047. The reversal of 1103300040 is 400033011.

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 = 1103299989 and 1103300025.

It is not an unprimeable number, because it can be changed into a prime (1103300047) by changing a digit.

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, 847390 + ... + 848690.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 21103300040 is an apocalyptic number.

1103300040 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 1103300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1103300040 is an abundant number, since it is smaller than the sum of its proper divisors (2316481080).

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

1103300040 is a wasteful number, since it uses less digits than its factorization.

1103300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1103300040 is about 33215.9606213639. The cubic root of 1103300040 is about 1033.3113774963.

Adding to 1103300040 its reverse (400033011), we get a palindrome (1503333051).

The spelling of 1103300040 in words is "one billion, one hundred three million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 191 222 296 370 382 444 555 573 740 764 888 955 1110 1146 1301 1480 1528 1910 2220 2292 2602 2865 3820 3903 4440 4584 5204 5730 6505 7067 7640 7806 10408 11460 13010 14134 15612 19515 21201 22920 26020 28268 31224 35335 39030 42402 48137 52040 56536 70670 78060 84804 96274 106005 141340 144411 156120 169608 192548 212010 240685 248491 282680 288822 385096 424020 481370 496982 577644 722055 745473 848040 962740 993964 1155288 1242455 1444110 1490946 1925480 1987928 2484910 2888220 2981892 3727365 4969820 5776440 5963784 7454730 9194167 9939640 14909460 18388334 27582501 29818920 36776668 45970835 55165002 73553336 91941670 110330004 137912505 183883340 220660008 275825010 367766680 551650020 1103300040