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2001303110310 = 235761250362417
BaseRepresentation
bin11101000111110110111…
…101100000001010100110
321002022201020212201020220
4131013312331200022212
5230242132044012220
64131215211105210
7264406104521340
oct35076675401246
97068636781226
102001303110310
11701825482959
12283a48442206
1311695051ac6a
146cc13980290
15370d25d4540
hex1d1f6f602a6

2001303110310 has 128 divisors (see below), whose sum is σ = 5581595326464. Its totient is φ = 449754716160.

The previous prime is 2001303110299. The next prime is 2001303110347. The reversal of 2001303110310 is 130113031002.

It is a super-2 number, since 2×20013031103102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001303110310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32032222 + ... + 32094638.

It is an arithmetic number, because the mean of its divisors is an integer number (43606213488).

Almost surely, 22001303110310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001303110310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790797663232).

2001303110310 is an abundant number, since it is smaller than the sum of its proper divisors (3580292216154).

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

2001303110310 is a wasteful number, since it uses less digits than its factorization.

2001303110310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64998.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2001303110310 its reverse (130113031002), we get a palindrome (2131416141312).

The spelling of 2001303110310 in words is "two trillion, one billion, three hundred three million, one hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2503 2562 4270 5006 6405 7509 12515 12810 15018 17521 25030 35042 37545 52563 62417 75090 87605 105126 124834 152683 175210 187251 262815 305366 312085 374502 436919 458049 525630 624170 763415 873838 916098 936255 1068781 1310757 1526830 1872510 2137562 2184595 2290245 2621514 3206343 3807437 4369190 4580490 5343905 6412686 6553785 7614874 10687810 11422311 13107570 16031715 19037185 22844622 26652059 32063430 38074370 53304118 57111555 79956177 114223110 133260295 156229751 159912354 266520590 312459502 399780885 468689253 781148755 799561770 937378506 1093608257 1562297510 2187216514 2343446265 3280824771 4686892530 5468041285 6561649542 9530014811 10936082570 16404123855 19060029622 28590044433 32808247710 47650074055 57180088866 66710103677 95300148110 133420207354 142950222165 200130311031 285900444330 333550518385 400260622062 667101036770 1000651555155 2001303110310