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2103331320 = 2333513914011
BaseRepresentation
bin111110101011110…
…0100100111111000
312102120210022011000
41331113210213320
513301423100240
6544413405000
7103060010166
oct17527444770
95376708130
102103331320
1198a303a52
124a8499760
132769b625c
1415d4b6236
15c49c4430
hex7d5e49f8

2103331320 has 128 divisors (see below), whose sum is σ = 7062048000. Its totient is φ = 556813440.

The previous prime is 2103331291. The next prime is 2103331327. The reversal of 2103331320 is 231333012.

2103331320 is a `hidden beast` number, since 2 + 10 + 3 + 331 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2103331293 and 2103331302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103331327) by changing a digit.

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, 143115 + ... + 157125.

It is an arithmetic number, because the mean of its divisors is an integer number (55172250).

Almost surely, 22103331320 is an apocalyptic number.

2103331320 is a gapful number since it is divisible by the number (20) 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 2103331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531024000).

2103331320 is an abundant number, since it is smaller than the sum of its proper divisors (4958716680).

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

2103331320 is a wasteful number, since it uses less digits than its factorization.

2103331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14170 (or 14160 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2103331320 is about 45862.0902271146. The cubic root of 2103331320 is about 1281.2559531113.

Adding to 2103331320 its reverse (231333012), we get a palindrome (2334664332).

The spelling of 2103331320 in words is "two billion, one hundred three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 139 180 216 270 278 360 417 540 556 695 834 1080 1112 1251 1390 1668 2085 2502 2780 3336 3753 4170 5004 5560 6255 7506 8340 10008 12510 14011 15012 16680 18765 25020 28022 30024 37530 42033 50040 56044 70055 75060 84066 112088 126099 140110 150120 168132 210165 252198 280220 336264 378297 420330 504396 560440 630495 756594 840660 1008792 1260990 1513188 1681320 1891485 1947529 2521980 3026376 3782970 3895058 5043960 5842587 7565940 7790116 9737645 11685174 15131880 15580232 17527761 19475290 23370348 29212935 35055522 38950580 46740696 52583283 58425870 70111044 77901160 87638805 105166566 116851740 140222088 175277610 210333132 233703480 262916415 350555220 420666264 525832830 701110440 1051665660 2103331320