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1321000110 = 233546110613
BaseRepresentation
bin100111010111100…
…1101110010101110
310102001200202111000
41032233031302232
510201134000420
6335025341130
744510213163
oct11657156256
93361622430
101321000110
11618740a31
1230a4977a6
131808ab691
14c762a06a
157ae8c690
hex4ebcdcae

1321000110 has 64 divisors (see below), whose sum is σ = 3530640960. Its totient is φ = 351469440.

The previous prime is 1321000081. The next prime is 1321000127. The reversal of 1321000110 is 110001231.

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 = 1321000092 and 1321000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119164 + ... + 129776.

It is an arithmetic number, because the mean of its divisors is an integer number (55166265).

Almost surely, 21321000110 is an apocalyptic number.

1321000110 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 1321000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765320480).

1321000110 is an abundant number, since it is smaller than the sum of its proper divisors (2209640850).

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

1321000110 is a wasteful number, since it uses less digits than its factorization.

1321000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11084 counting only the distinct ones).

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

The square root of 1321000110 is about 36345.5652040245. The cubic root of 1321000110 is about 1097.2382814515.

Adding to 1321000110 its reverse (110001231), we get a palindrome (1431001341).

The spelling of 1321000110 in words is "one billion, three hundred twenty-one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 461 922 1383 2305 2766 4149 4610 6915 8298 10613 12447 13830 20745 21226 24894 31839 41490 53065 62235 63678 95517 106130 124470 159195 191034 286551 318390 477585 573102 955170 1432755 2865510 4892593 9785186 14677779 24462965 29355558 44033337 48925930 73388895 88066674 132100011 146777790 220166685 264200022 440333370 660500055 1321000110