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1001320110 = 233575231013
BaseRepresentation
bin111011101011101…
…110111010101110
32120210011022222000
4323223232322232
54022314220420
6243205433130
733546036420
oct7353567256
92523138860
101001320110
1147424568a
1223b40b7a6
1312c5b000b
1496db2810
155cd92690
hex3baeeeae

1001320110 has 128 divisors (see below), whose sum is σ = 3060495360. Its totient is φ = 228210048.

The previous prime is 1001320097. The next prime is 1001320139. The reversal of 1001320110 is 110231001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001320092 and 1001320101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987964 + ... + 988976.

It is an arithmetic number, because the mean of its divisors is an integer number (23910120).

Almost surely, 21001320110 is an apocalyptic number.

1001320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001320110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530247680).

1001320110 is an abundant number, since it is smaller than the sum of its proper divisors (2059175250).

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

1001320110 is a wasteful number, since it uses less digits than its factorization.

1001320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001320110 is about 31643.6424894480. The cubic root of 1001320110 is about 1000.4398431763.

Adding to 1001320110 its reverse (110231001), we get a palindrome (1111551111).

The spelling of 1001320110 in words is "one billion, one million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 523 630 945 1013 1046 1569 1890 2026 2615 3039 3138 3661 4707 5065 5230 6078 7091 7322 7845 9117 9414 10130 10983 14121 14182 15195 15690 18234 18305 21273 21966 23535 27351 28242 30390 32949 35455 36610 42546 45585 47070 54702 54915 63819 65898 70605 70910 91170 98847 106365 109830 127638 136755 141210 164745 191457 197694 212730 273510 319095 329490 382914 494235 529799 638190 957285 988470 1059598 1589397 1914570 2648995 3178794 3708593 4768191 5297990 7417186 7946985 9536382 11125779 14304573 15893970 18542965 22251558 23840955 28609146 33377337 37085930 47681910 55628895 66754674 71522865 100132011 111257790 143045730 166886685 200264022 333773370 500660055 1001320110