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1103420200 = 23523125741
BaseRepresentation
bin100000111000100…
…1101101100101000
32211220021112221211
41001301031230220
54224433421300
6301254042504
736225626341
oct10161155450
92756245854
101103420200
11516940a23
12269649434
131477aa67c
14a678d0c8
1566d0e4ba
hex41c4db28

1103420200 has 72 divisors (see below), whose sum is σ = 2651339790. Its totient is φ = 427056000.

The previous prime is 1103420161. The next prime is 1103420209. The reversal of 1103420200 is 20243011.

It can be written as a sum of positive squares in 3 ways, for example, as 816930724 + 286489476 = 28582^2 + 16926^2 .

It is a super-2 number, since 2×11034202002 = 2435072275536080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1103420209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189330 + ... + 195070.

Almost surely, 21103420200 is an apocalyptic number.

1103420200 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 1103420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325669895).

1103420200 is an abundant number, since it is smaller than the sum of its proper divisors (1547919590).

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

1103420200 is a wasteful number, since it uses less digits than its factorization.

1103420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1103420200 is about 33217.7693411222. The cubic root of 1103420200 is about 1033.3488886547.

Adding to 1103420200 its reverse (20243011), we get a palindrome (1123663211).

The spelling of 1103420200 in words is "one billion, one hundred three million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 961 1240 1550 1922 3100 3844 4805 5741 6200 7688 9610 11482 19220 22964 24025 28705 38440 45928 48050 57410 96100 114820 143525 177971 192200 229640 287050 355942 574100 711884 889855 1148200 1423768 1779710 3559420 4449275 5517101 7118840 8898550 11034202 17797100 22068404 27585505 35594200 44136808 55171010 110342020 137927525 220684040 275855050 551710100 1103420200