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102001000200 = 233521115454697
BaseRepresentation
bin101111011111110111…
…0111011111100001000
3100202021121212200111020
41132333232323330020
53132344224001300
6114505243232440
710240452124221
oct1367756737410
9322247780436
10102001000200
113a2929a6180
1217927b18720
139807247128
144d18ada248
1529bec488a0
hex17bfbbbf08

102001000200 has 96 divisors (see below), whose sum is σ = 344948859360. Its totient is φ = 24727513600.

The previous prime is 102001000187. The next prime is 102001000217. The reversal of 102001000200 is 2000100201.

It is a happy number.

102001000200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7720749 + ... + 7733948.

It is an arithmetic number, because the mean of its divisors is an integer number (3593217285).

Almost surely, 2102001000200 is an apocalyptic number.

102001000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001000200 is an abundant number, since it is smaller than the sum of its proper divisors (242947859160).

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

102001000200 is a wasteful number, since it uses less digits than its factorization.

102001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15454727 (or 15454718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102001000200 its reverse (2000100201), we get a palindrome (104001100401).

The spelling of 102001000200 in words is "one hundred two billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 15454697 30909394 46364091 61818788 77273485 92728182 123637576 154546970 170001667 185456364 231820455 309093940 340003334 370912728 386367425 463640910 510005001 618187880 680006668 772734850 850008335 927281820 1020010002 1159102275 1360013336 1545469700 1700016670 1854563640 2040020004 2318204550 2550025005 3090939400 3400033340 4080040008 4250041675 4636409100 5100050010 6800066680 8500083350 9272818200 10200100020 12750125025 17000166700 20400200040 25500250050 34000333400 51000500100 102001000200