Search a number
-
+
2003110203120 = 243513913370297
BaseRepresentation
bin11101001001100010101…
…011000000111011110000
321002111101012020112120020
4131021202223000323300
5230304332202444440
64132114403243440
7264501636536445
oct35114253007360
97074335215506
102003110203120
11702572541494
12284271679580
13116b7aa22550
146cd459819cc
153718b08e3d0
hex1d262ac0ef0

2003110203120 has 160 divisors (see below), whose sum is σ = 6688133723712. Its totient is φ = 493012279296.

The previous prime is 2003110203079. The next prime is 2003110203131. The reversal of 2003110203120 is 213020113002.

It is a super-3 number, since 3×20031102031203 (a number of 38 digits) contains 333 as substring.

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 2003110203120.

It is a congruent number.

It is an unprimeable number.

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, 28459812 + ... + 28530108.

Almost surely, 22003110203120 is an apocalyptic number.

2003110203120 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 2003110203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344066861856).

2003110203120 is an abundant number, since it is smaller than the sum of its proper divisors (4685023520592).

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

2003110203120 is a wasteful number, since it uses less digits than its factorization.

2003110203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79459 (or 79453 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2003110203120 its reverse (213020113002), we get a palindrome (2216130316122).

The spelling of 2003110203120 in words is "two trillion, three billion, one hundred ten million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 9133 18266 27399 36532 45665 54798 70297 73064 91330 109596 118729 136995 140594 146128 182660 210891 219192 237458 273990 281188 351485 356187 365320 421782 438384 474916 547980 562376 593645 702970 712374 730640 843564 913861 949832 1054455 1095960 1124752 1187290 1405940 1424748 1687128 1780935 1827722 1899664 2108910 2191920 2374580 2741583 2811880 2849496 3374256 3561870 3655444 4217820 4569305 4749160 5483166 5623760 5698992 7123740 7310888 8435640 9138610 9498320 10966332 13707915 14247480 14621776 16871280 18277220 21932664 27415830 28494960 36554440 43865328 54831660 73108880 109663320 219326640 642022501 1284045002 1926067503 2568090004 3210112505 3852135006 5136180008 6420225010 7704270012 8346292513 9630337515 10272360016 12840450020 15408540024 16692585026 19260675030 25038877539 25680900040 30817080048 33385170052 38521350060 41731462565 50077755078 51361800080 66770340104 77042700120 83462925130 100155510156 125194387695 133540680208 154085400240 166925850260 200311020312 250388775390 333851700520 400622040624 500777550780 667703401040 1001555101560 2003110203120