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102112211280 = 24352347393587
BaseRepresentation
bin101111100011001011…
…1001011000101010000
3100202120101010210102010
41133012113023011100
53133111211230110
6114524255022520
710243302321612
oct1370627130520
9322511123363
10102112211280
113a33a754762
121795920aa40
1398242b47c1
144d297a8db2
1529c98b5020
hex17c65cb150

102112211280 has 160 divisors (see below), whose sum is σ = 337339551744. Its totient is φ = 25491778048.

The previous prime is 102112211191. The next prime is 102112211281. The reversal of 102112211280 is 82112211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112211281) 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, 62647 + ... + 456233.

Almost surely, 2102112211280 is an apocalyptic number.

102112211280 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 102112211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168669775872).

102112211280 is an abundant number, since it is smaller than the sum of its proper divisors (235227340464).

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

102112211280 is a wasteful number, since it uses less digits than its factorization.

102112211280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393673 (or 393667 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 102112211280 its reverse (82112211201), we get a palindrome (184224422481).

The spelling of 102112211280 in words is "one hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 47 48 60 69 80 92 94 115 120 138 141 184 188 230 235 240 276 282 345 368 376 460 470 552 564 690 705 752 920 940 1081 1104 1128 1380 1410 1840 1880 2162 2256 2760 2820 3243 3760 4324 5405 5520 5640 6486 8648 10810 11280 12972 16215 17296 21620 25944 32430 43240 51888 64860 86480 129720 259440 393587 787174 1180761 1574348 1967935 2361522 3148696 3935870 4723044 5903805 6297392 7871740 9052501 9446088 11807610 15743480 18105002 18498589 18892176 23615220 27157503 31486960 36210004 36997178 45262505 47230440 54315006 55495767 72420008 73994356 90525010 92492945 94460880 108630012 110991534 135787515 144840016 147988712 181050020 184985890 217260024 221983068 271575030 277478835 295977424 362100040 369971780 425467547 434520048 443966136 543150060 554957670 724200080 739943560 850935094 887932272 1086300120 1109915340 1276402641 1479887120 1701870188 2127337735 2172600240 2219830680 2552805282 3403740376 4254675470 4439661360 5105610564 6382013205 6807480752 8509350940 10211221128 12764026410 17018701880 20422442256 25528052820 34037403760 51056105640 102112211280