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1103003220 = 2235116127397
BaseRepresentation
bin100000110111110…
…0111111001010100
32211212111100222010
41001233213321110
54224332100340
6301241104220
736222241554
oct10157477124
92755440863
101103003220
11516686710
12269488070
13147692937
14a66c1164
1566c7ab80
hex41be7e54

1103003220 has 96 divisors (see below), whose sum is σ = 3424530816. Its totient is φ = 263001600.

The previous prime is 1103003179. The next prime is 1103003261. The reversal of 1103003220 is 223003011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1103003179) and next prime (1103003261).

It is a super-2 number, since 2×11030032202 = 2433232206660736800, which contains 22 as substring.

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 = 1103003196 and 1103003205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26562 + ... + 53958.

It is an arithmetic number, because the mean of its divisors is an integer number (35672196).

Almost surely, 21103003220 is an apocalyptic number.

1103003220 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 1103003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712265408).

1103003220 is an abundant number, since it is smaller than the sum of its proper divisors (2321527596).

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

1103003220 is a wasteful number, since it uses less digits than its factorization.

1103003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27481 (or 27479 counting only the distinct ones).

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

The square root of 1103003220 is about 33211.4922880620. The cubic root of 1103003220 is about 1033.2187055181.

Adding to 1103003220 its reverse (223003011), we get a palindrome (1326006231).

The spelling of 1103003220 in words is "one billion, one hundred three million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 27397 40260 54794 82191 109588 136985 164382 273970 301367 328764 410955 547940 602734 821910 904101 1205468 1506835 1643820 1671217 1808202 3013670 3342434 3616404 4520505 5013651 6027340 6684868 8356085 9041010 10027302 16712170 18082020 18383387 20054604 25068255 33424340 36766774 50136510 55150161 73533548 91916935 100273020 110300322 183833870 220600644 275750805 367667740 551501610 1103003220