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4023020011300 = 22524110125793767
BaseRepresentation
bin111010100010101110101…
…011011011111100100100
3112020121010011220102212021
4322202232223123330210
51011403121110330200
612320052212432524
7563440120606513
oct72425653337444
915217104812767
104023020011300
111311175a098a4
1254b831318744
132324a50731b4
14dca0275a67a
156e9abe1e41a
hex3a8aeadbf24

4023020011300 has 144 divisors (see below), whose sum is σ = 9037322824320. Its totient is φ = 1553399680000.

The previous prime is 4023020011273. The next prime is 4023020011369. The reversal of 4023020011300 is 31100203204.

It is a happy number.

It is a super-3 number, since 3×40230200113003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067962017 + ... + 1067965783.

It is an arithmetic number, because the mean of its divisors is an integer number (62759186280).

Almost surely, 24023020011300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023020011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518661412160).

4023020011300 is an abundant number, since it is smaller than the sum of its proper divisors (5014302813020).

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

4023020011300 is a wasteful number, since it uses less digits than its factorization.

4023020011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6495 counting only the distinct ones).

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

Adding to 4023020011300 its reverse (31100203204), we get a palindrome (4054120214504).

The spelling of 4023020011300 in words is "four trillion, twenty-three billion, twenty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 164 202 205 404 410 505 820 1010 1025 2020 2050 2525 2579 3767 4100 4141 5050 5158 7534 8282 10100 10316 12895 15068 16564 18835 20705 25790 37670 41410 51580 64475 75340 82820 94175 103525 105739 128950 154447 188350 207050 211478 257900 260479 308894 376700 380467 414100 422956 520958 528695 617788 760934 772235 1041916 1057390 1302395 1521868 1544470 1902335 2114780 2604790 2643475 3088940 3804670 3861175 5209580 5286950 6511975 7609340 7722350 9511675 9715093 10573900 10679639 13023950 15444700 15599147 19023350 19430186 21359278 26047900 31198294 38046700 38860372 42718556 48575465 53398195 62396588 77995735 97150930 106796390 155991470 194301860 213592780 242877325 266990975 311982940 389978675 398318813 485754650 533981950 779957350 796637626 971509300 981224393 1067963900 1559914700 1593275252 1962448786 1991594065 3924897572 3983188130 4906121965 7966376260 9812243930 9957970325 19624487860 19915940650 24530609825 39831881300 40230200113 49061219650 80460400226 98122439300 160920800452 201151000565 402302001130 804604002260 1005755002825 2011510005650 4023020011300