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102301031123120 = 2452416438579629
BaseRepresentation
bin10111010000101011010000…
…100111101100100010110000
3111102012212211202022220000002
4113100223100213230202300
5101402100002431414440
61001324240033245132
730356001630030554
oct2720532047544260
9442185752286002
10102301031123120
112a6616950a5325
12b5827604037a8
134510c3b02232b
141b39579733864
15bc6140739115
hex5d0ad09ec8b0

102301031123120 has 160 divisors (see below), whose sum is σ = 239512262109120. Its totient is φ = 40635545518080.

The previous prime is 102301031123077. The next prime is 102301031123141. The reversal of 102301031123120 is 21321130103201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102301031123092 and 102301031123101.

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, 10624258466 + ... + 10624268094.

It is an arithmetic number, because the mean of its divisors is an integer number (1496951638182).

Almost surely, 2102301031123120 is an apocalyptic number.

102301031123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102301031123120 is an abundant number, since it is smaller than the sum of its proper divisors (137211230986000).

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

102301031123120 is a wasteful number, since it uses less digits than its factorization.

102301031123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102301031123120 its reverse (21321130103201), we get a palindrome (123622161226321).

The spelling of 102301031123120 in words is "one hundred two trillion, three hundred one billion, thirty-one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 643 857 964 1205 1286 1714 1928 2410 2572 3215 3428 3856 4285 4820 5144 6430 6856 8570 9629 9640 10288 12860 13712 17140 19258 19280 25720 34280 38516 48145 51440 68560 77032 96290 154064 154963 192580 206537 309926 385160 413074 551051 619852 770320 774815 826148 1032685 1102102 1239704 1549630 1652296 2065370 2204204 2320589 2479408 2755255 3099260 3304592 4130740 4408408 4641178 5510510 6191447 6198520 8252053 8261480 8816816 9282356 11021020 11602945 12382894 12397040 16504106 16522960 18564712 22042040 23205890 24765788 30957235 33008212 37129424 41260265 44084080 46411780 49531576 61914470 66016424 82520530 92823560 99063152 123828940 132032848 132803291 165041060 185647120 247657880 265606582 330082120 495315760 531213164 660164240 664016455 1062426328 1328032910 1492138727 1988744773 2124852656 2656065820 2984277454 3977489546 5306070079 5312131640 5968554908 7460693635 7954979092 9943723865 10612140158 10624263280 11937109816 14921387270 15909958184 19887447730 21224280316 23874219632 26530350395 29842774540 31819916368 39774895460 42448560632 53060700790 59685549080 79549790920 84897121264 106121401580 119371098160 159099581840 212242803160 424485606320 1278762889039 2557525778078 5115051556156 6393814445195 10230103112312 12787628890390 20460206224624 25575257780780 51150515561560 102301031123120