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1043104300 = 2252773137149
BaseRepresentation
bin111110001011001…
…000001000101100
32200200210012002121
4332023020020230
54114013314200
6251301202324
734564145260
oct7613101054
92620705077
101043104300
11495894777
122514003a4
1313814c9a4
149c76c0a0
1561897e1a
hex3e2c822c

1043104300 has 144 divisors (see below), whose sum is σ = 2659204800. Its totient is φ = 347811840.

The previous prime is 1043104291. The next prime is 1043104301. The reversal of 1043104300 is 34013401.

It is not an unprimeable number, because it can be changed into a prime (1043104301) 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 47 ways as a sum of consecutive naturals, for example, 7000626 + ... + 7000774.

It is an arithmetic number, because the mean of its divisors is an integer number (18466700).

Almost surely, 21043104300 is an apocalyptic number.

1043104300 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 1043104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329602400).

1043104300 is an abundant number, since it is smaller than the sum of its proper divisors (1616100500).

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

1043104300 is a wasteful number, since it uses less digits than its factorization.

1043104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1043104300 is about 32297.1252590691. The cubic root of 1043104300 is about 1014.1664636253.

Adding to 1043104300 its reverse (34013401), we get a palindrome (1077117701).

It can be divided in two parts, 1043 and 104300, that multiplied together give a square (108784900 = 104302).

The spelling of 1043104300 in words is "one billion, forty-three million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 137 140 146 149 175 274 292 298 350 365 511 548 596 685 700 730 745 959 1022 1043 1370 1460 1490 1825 1918 2044 2086 2555 2740 2980 3425 3650 3725 3836 4172 4795 5110 5215 6850 7300 7450 9590 10001 10220 10430 10877 12775 13700 14900 19180 20002 20413 20860 21754 23975 25550 26075 40004 40826 43508 47950 50005 51100 52150 54385 70007 76139 81652 95900 100010 102065 104300 108770 140014 142891 152278 200020 204130 217540 250025 271925 280028 285782 304556 350035 380695 408260 500050 510325 543850 571564 700070 714455 761390 1000100 1020650 1087700 1400140 1428910 1490149 1522780 1750175 1903475 2041300 2857820 2980298 3500350 3572275 3806950 5960596 7000700 7144550 7450745 7613900 10431043 14289100 14901490 20862086 29802980 37253725 41724172 52155215 74507450 104310430 149014900 208620860 260776075 521552150 1043104300