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2003312000140 = 22511113233345853
BaseRepresentation
bin11101001001101110101…
…100110011110010001100
321002111220020221220000221
4131021232230303302030
5230310240333001030
64132150412401124
7264506640020113
oct35115654636214
97074806856027
102003312000140
11702666441590
122843091761a4
13116bb0788779
146cd646b0c7a
153719db50e7a
hex1d26eb33c8c

2003312000140 has 96 divisors (see below), whose sum is σ = 4649904657216. Its totient is φ = 718929469440.

The previous prime is 2003312000093. The next prime is 2003312000153. The reversal of 2003312000140 is 410002133002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5619454 + ... + 5965306.

It is an arithmetic number, because the mean of its divisors is an integer number (48436506846).

Almost surely, 22003312000140 is an apocalyptic number.

2003312000140 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 2003312000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324952328608).

2003312000140 is an abundant number, since it is smaller than the sum of its proper divisors (2646592657076).

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

2003312000140 is a wasteful number, since it uses less digits than its factorization.

2003312000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346219 (or 346217 counting only the distinct ones).

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

Adding to 2003312000140 its reverse (410002133002), we get a palindrome (2413314133142).

The spelling of 2003312000140 in words is "two trillion, three billion, three hundred twelve million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 233 452 466 565 932 1130 1165 1243 2260 2330 2486 2563 4660 4972 5126 6215 10252 12430 12815 24860 25630 26329 51260 52658 105316 131645 263290 289619 345853 526580 579238 691706 1158476 1383412 1448095 1729265 2896190 3458530 3804383 5792380 6917060 7608766 15217532 19021915 38043830 39081389 76087660 78162778 80583749 156325556 161167498 195406945 322334996 390813890 402918745 429895279 781627780 805837490 859790558 886421239 1611674980 1719581116 1772842478 2149476395 3545684956 4298952790 4432106195 8597905580 8864212390 9105963637 17728424780 18211927274 36423854548 45529818185 91059636370 100165600007 182119272740 200331200014 400662400028 500828000035 1001656000070 2003312000140