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1011013300 = 2252112389449
BaseRepresentation
bin111100010000101…
…101011010110100
32121110101210112001
4330100231122310
54032304411200
6244153305044
734024320433
oct7420553264
92543353461
101011013300
11479766290
12242705184
131315c502b
14983b711a
155db5976a
hex3c42d6b4

1011013300 has 144 divisors (see below), whose sum is σ = 2531088000. Its totient is φ = 346931200.

The previous prime is 1011013279. The next prime is 1011013327. The reversal of 1011013300 is 33101101.

1011013300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251476 + ... + 2251924.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 21011013300 is an apocalyptic number.

1011013300 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 1011013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265544000).

1011013300 is an abundant number, since it is smaller than the sum of its proper divisors (1520074700).

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

1011013300 is a wasteful number, since it uses less digits than its factorization.

1011013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1011013300 is about 31796.4353347981. The cubic root of 1011013300 is about 1003.6577048831.

Adding to 1011013300 its reverse (33101101), we get a palindrome (1044114401).

It can be divided in two parts, 101101 and 3300, that added together give a palindrome (104401).

The spelling of 1011013300 in words is "one billion, eleven million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 89 92 100 110 115 178 220 230 253 275 356 445 449 460 506 550 575 890 898 979 1012 1100 1150 1265 1780 1796 1958 2047 2225 2245 2300 2530 3916 4094 4450 4490 4895 4939 5060 6325 8188 8900 8980 9790 9878 10235 10327 11225 12650 19580 19756 20470 20654 22450 22517 24475 24695 25300 39961 40940 41308 44900 45034 48950 49390 51175 51635 79922 90068 97900 98780 102350 103270 112585 113597 123475 159844 199805 204700 206540 225170 227194 246950 258175 399610 439571 450340 454388 493900 516350 562925 567985 799220 879142 919103 999025 1032700 1125850 1135970 1758284 1838206 1998050 2197855 2251700 2271940 2839925 3676412 3996100 4395710 4595515 5679850 8791420 9191030 10110133 10989275 11359700 18382060 20220266 21978550 22977575 40440532 43957100 45955150 50550665 91910300 101101330 202202660 252753325 505506650 1011013300