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2103312300 = 2235241271631
BaseRepresentation
bin111110101011101…
…1111111110101100
312102120202100001120
41331113133332230
513301421443200
6544413140540
7103056600555
oct17527377654
95376670046
102103312300
1198a2a0731
124a848a750
132769aa6bb
1415d4ad32c
15c49bd9a0
hex7d5dffac

2103312300 has 144 divisors (see below), whose sum is σ = 6266932224. Its totient is φ = 544320000.

The previous prime is 2103312271. The next prime is 2103312313. The reversal of 2103312300 is 32133012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2103312300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3332985 + ... + 3333615.

Almost surely, 22103312300 is an apocalyptic number.

2103312300 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 2103312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133466112).

2103312300 is an abundant number, since it is smaller than the sum of its proper divisors (4163619924).

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

2103312300 is a wasteful number, since it uses less digits than its factorization.

2103312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2103312300 is about 45861.8828658397. The cubic root of 2103312300 is about 1281.2520910535.

Adding to 2103312300 its reverse (32133012), we get a palindrome (2135445312).

It can be divided in two parts, 21033 and 12300, that added together give a palindrome (33333).

The spelling of 2103312300 in words is "two billion, one hundred three million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 631 813 820 1025 1084 1230 1262 1355 1626 1893 2050 2460 2524 2710 3075 3155 3252 3786 4065 4100 5420 6150 6310 6775 7572 8130 9465 11111 12300 12620 13550 15775 16260 18930 20325 22222 25871 27100 31550 33333 37860 40650 44444 47325 51742 55555 63100 66666 77613 81300 94650 103484 111110 129355 133332 155226 166665 171001 189300 222220 258710 277775 310452 333330 342002 388065 513003 517420 555550 646775 666660 684004 776130 833325 855005 1026006 1111100 1293550 1552260 1666650 1710010 1940325 2052012 2565015 2587100 3333300 3420020 3880650 4275025 5130030 7011041 7761300 8550050 10260060 12825075 14022082 17100100 21033123 25650150 28044164 35055205 42066246 51300300 70110410 84132492 105165615 140220820 175276025 210331230 350552050 420662460 525828075 701104100 1051656150 2103312300