Search a number
-
+
2003022110320 = 2457112314137649
BaseRepresentation
bin11101001001011101011…
…010111101111001110000
321002111011001110221221221
4131021131122331321300
5230304142130012240
64132101535154424
7264466520006230
oct35113532757160
97074131427857
102003022110320
11702527843020
12284248075a14
13116b656ba72a
146cd37dadcc0
153718348ca4a
hex1d25d6bde70

2003022110320 has 160 divisors (see below), whose sum is σ = 6058605081600. Its totient is φ = 597174251520.

The previous prime is 2003022110317. The next prime is 2003022110321. The reversal of 2003022110320 is 230112203002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2003022110294 and 2003022110303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003022110321) 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, 6927145 + ... + 7210504.

It is an arithmetic number, because the mean of its divisors is an integer number (37866281760).

Almost surely, 22003022110320 is an apocalyptic number.

2003022110320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003022110320 is an abundant number, since it is smaller than the sum of its proper divisors (4055582971280).

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

2003022110320 is a wasteful number, since it uses less digits than its factorization.

2003022110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14137703 (or 14137697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2003022110320 its reverse (230112203002), we get a palindrome (2233134313322).

The spelling of 2003022110320 in words is "two trillion, three billion, twenty-two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 77 80 88 92 110 112 115 140 154 161 176 184 220 230 253 280 308 322 368 385 440 460 506 560 616 644 770 805 880 920 1012 1232 1265 1288 1540 1610 1771 1840 2024 2530 2576 3080 3220 3542 4048 5060 6160 6440 7084 8855 10120 12880 14168 17710 20240 28336 35420 70840 141680 14137649 28275298 56550596 70688245 98963543 113101192 141376490 155514139 197927086 226202384 282752980 311028278 325165927 395854172 494817715 565505960 622056556 650331854 777570695 791708344 989635430 1088598973 1131011920 1244113112 1300663708 1555141390 1583416688 1625829635 1979270860 2177197946 2276161489 2488226224 2601327416 3110282780 3251659270 3576825197 3958541720 4354395892 4552322978 5202654832 5442994865 6220565560 6503318540 7153650394 7917083440 8708791784 9104645956 10885989730 11380807445 12441131120 13006637080 14307300788 17417583568 17884125985 18209291912 21771979460 22761614890 25037776379 26013274160 28614601576 35768251970 36418583824 43543958920 45523229780 50075552758 57229203152 71536503940 87087917840 91046459560 100151105516 125188881895 143073007880 182092919120 200302211032 250377763790 286146015760 400604422064 500755527580 1001511055160 2003022110320