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102002103240 = 233517113442487
BaseRepresentation
bin101111011111111001…
…1001001001111001000
3100202021200221201120120
41132333303021033020
53132400014300430
6114505323023240
710240464400122
oct1367763111710
9322250851516
10102002103240
113a293589984
121792836ab20
13980754220b
144d18d06212
1529bedb5610
hex17bfcc93c8

102002103240 has 128 divisors (see below), whose sum is σ = 326874735360. Its totient is φ = 25373917184.

The previous prime is 102002103197. The next prime is 102002103241. The reversal of 102002103240 is 42301200201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102002103241) 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, 9277 + ... + 451763.

It is an arithmetic number, because the mean of its divisors is an integer number (2553708870).

Almost surely, 2102002103240 is an apocalyptic number.

102002103240 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 102002103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163437367680).

102002103240 is an abundant number, since it is smaller than the sum of its proper divisors (224872632120).

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

102002103240 is a wasteful number, since it uses less digits than its factorization.

102002103240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442631 (or 442627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102002103240 its reverse (42301200201), we get a palindrome (144303303441).

The spelling of 102002103240 in words is "one hundred two billion, two million, one hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 113 120 136 170 204 226 255 339 340 408 452 510 565 678 680 904 1020 1130 1356 1695 1921 2040 2260 2712 3390 3842 4520 5763 6780 7684 9605 11526 13560 15368 19210 23052 28815 38420 46104 57630 76840 115260 230520 442487 884974 1327461 1769948 2212435 2654922 3539896 4424870 5309844 6637305 7522279 8849740 10619688 13274610 15044558 17699480 22566837 26549220 30089116 37611395 45133674 50001031 53098440 60178232 75222790 90267348 100002062 112834185 150003093 150445580 180534696 200004124 225668370 250005155 300006186 300891160 400008248 451336740 500010310 600012372 750015465 850017527 902673480 1000020620 1200024744 1500030930 1700035054 2000041240 2550052581 3000061860 3400070108 4250087635 5100105162 6000123720 6800140216 8500175270 10200210324 12750262905 17000350540 20400420648 25500525810 34000701080 51001051620 102002103240