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111002102102000 = 2453223433574789
BaseRepresentation
bin11001001111010010110000…
…110111010111011111110000
3112120000200211100110001102202
4121033102300313113133300
5104022124301114231000
61032025354533402332
732244431366036054
oct3117226067273760
9476020740401382
10111002102102000
11324067aa8aa46a
1210548b4b4993a8
1349c25b7c12825
141d5a75d61dc64
15cc76457a8dd5
hex64f4b0dd77f0

111002102102000 has 160 divisors (see below), whose sum is σ = 270229802519040. Its totient is φ = 44099574681600.

The previous prime is 111002102101999. The next prime is 111002102102011. The reversal of 111002102102000 is 201201200111.

It is a congruent 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, 192830606 + ... + 193405394.

It is an arithmetic number, because the mean of its divisors is an integer number (1688936265744).

Almost surely, 2111002102102000 is an apocalyptic number.

111002102102000 is a gapful number since it is divisible by the number (10) 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 111002102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135114901259520).

111002102102000 is an abundant number, since it is smaller than the sum of its proper divisors (159227700417040).

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

111002102102000 is a wasteful number, since it uses less digits than its factorization.

111002102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575468 (or 575452 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 111002102102000 its reverse (201201200111), we get a palindrome (111203303302111).

The spelling of 111002102102000 in words is "one hundred eleven trillion, two billion, one hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 223 250 400 433 446 500 866 892 1000 1115 1732 1784 2000 2165 2230 3464 3568 4330 4460 5575 6928 8660 8920 10825 11150 17320 17840 21650 22300 27875 34640 43300 44600 54125 55750 86600 89200 96559 108250 111500 173200 193118 216500 223000 386236 433000 446000 482795 574789 772472 866000 965590 1149578 1544944 1931180 2299156 2413975 2873945 3862360 4598312 4827950 5747890 7724720 9196624 9655900 11495780 12069875 14369725 19311800 22991560 24139750 28739450 38623600 45983120 48279500 57478900 71848625 96559000 114957800 128177947 143697250 193118000 229915600 248883637 256355894 287394500 497767274 512711788 574789000 640889735 995534548 1025423576 1149578000 1244418185 1281779470 1991069096 2050847152 2488836370 2563558940 3204448675 3982138192 4977672740 5127117880 6222090925 6408897350 9955345480 10254235760 12444181850 12817794700 16022243375 19910690960 24888363700 25635589400 31110454625 32044486750 49776727400 51271178800 55501051051 62220909250 64088973500 99553454800 111002102102 124441818500 128177947000 222004204204 248883637000 256355894000 277505255255 444008408408 497767274000 555010510510 888016816816 1110021021020 1387526276275 2220042042040 2775052552550 4440084084080 5550105105100 6937631381375 11100210210200 13875262762750 22200420420400 27750525525500 55501051051000 111002102102000