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2103310040 = 23513172291039
BaseRepresentation
bin111110101011101…
…1111011011011000
312102120202012221212
41331113133123120
513301421410130
6544413122252
7103056561146
oct17527373330
95376665855
102103310040
1198a299a67
124a8489388
132769a9670
1415d4ac596
15c49bce95
hex7d5df6d8

2103310040 has 128 divisors (see below), whose sum is σ = 5425056000. Its totient is φ = 727031808.

The previous prime is 2103309997. The next prime is 2103310043. The reversal of 2103310040 is 400133012.

It is a junction number, because it is equal to n+sod(n) for n = 2103309997 and 2103310024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103310043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023841 + ... + 2024879.

It is an arithmetic number, because the mean of its divisors is an integer number (42383250).

Almost surely, 22103310040 is an apocalyptic number.

2103310040 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 2103310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712528000).

2103310040 is an abundant number, since it is smaller than the sum of its proper divisors (3321745960).

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

2103310040 is a wasteful number, since it uses less digits than its factorization.

2103310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2103310040 is about 45861.8582266353. The cubic root of 2103310040 is about 1281.2516321534.

Adding to 2103310040 its reverse (400133012), we get a palindrome (2503443052).

The spelling of 2103310040 in words is "two billion, one hundred three million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 229 260 340 442 458 520 680 884 916 1039 1105 1145 1768 1832 2078 2210 2290 2977 3893 4156 4420 4580 5195 5954 7786 8312 8840 9160 10390 11908 13507 14885 15572 17663 19465 20780 23816 27014 29770 31144 35326 38930 41560 50609 54028 59540 67535 70652 77860 88315 101218 108056 119080 135070 141304 155720 176630 202436 229619 237931 253045 270140 353260 404872 459238 475862 506090 540280 706520 918476 951724 1012180 1148095 1189655 1836952 1903448 2024360 2296190 2379310 3093103 4044827 4592380 4758620 6186206 8089654 9184760 9517240 12372412 15465515 16179308 20224135 24744824 30931030 32358616 40448270 52582751 61862060 80896540 105165502 123724120 161793080 210331004 262913755 420662008 525827510 1051655020 2103310040