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2103002010 = 2325239971019
BaseRepresentation
bin111110101011001…
…0100001110011010
312102120011120102100
41331112110032122
513301332031020
6544402344230
7103054136124
oct17526241632
95376146370
102103002010
1198a0a959a
124a835b076
132768cc3b5
1415d42c214
15c495ba90
hex7d59439a

2103002010 has 96 divisors (see below), whose sum is σ = 5716863360. Its totient is φ = 535353984.

The previous prime is 2103001997. The next prime is 2103002021. The reversal of 2103002010 is 102003012.

It is a happy number.

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 = 2103001983 and 2103002001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063281 + ... + 2064299.

It is an arithmetic number, because the mean of its divisors is an integer number (59550660).

Almost surely, 22103002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858431680).

2103002010 is an abundant number, since it is smaller than the sum of its proper divisors (3613861350).

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

2103002010 is a wasteful number, since it uses less digits than its factorization.

2103002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2103002010 is about 45858.4998664370. The cubic root of 2103002010 is about 1281.1890826163.

Adding to 2103002010 its reverse (102003012), we get a palindrome (2205005022).

The spelling of 2103002010 in words is "two billion, one hundred three million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 997 1019 1035 1994 2038 2070 2991 3057 4985 5095 5982 6114 8973 9171 9970 10190 14955 15285 17946 18342 22931 23437 29910 30570 44865 45855 45862 46874 68793 70311 89730 91710 114655 117185 137586 140622 206379 210933 229310 234370 343965 351555 412758 421866 687930 703110 1015943 1031895 1054665 2031886 2063790 2109330 3047829 5079715 6095658 9143487 10159430 15239145 18286974 23366689 30478290 45717435 46733378 70100067 91434870 116833445 140200134 210300201 233666890 350500335 420600402 701000670 1051501005 2103002010