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102355543000 = 23532319012341
BaseRepresentation
bin101111101010011011…
…1011010001111011000
3100210012100000022210001
41133110313122033120
53134111004334000
6115004350302344
710252315521544
oct1372467321730
9323170008701
10102355543000
113a455043457
1217a067b79b4
139862830c79
144d4dc2aa24
1529e0e2d46a
hex17d4dda3d8

102355543000 has 128 divisors (see below), whose sum is σ = 250163821440. Its totient is φ = 39124800000.

The previous prime is 102355542983. The next prime is 102355543001. The reversal of 102355543000 is 345553201.

It is a self number, because there is not a number n which added to its sum of digits gives 102355543000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102355543001) 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, 43721830 + ... + 43724170.

It is an arithmetic number, because the mean of its divisors is an integer number (1954404855).

Almost surely, 2102355543000 is an apocalyptic number.

102355543000 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 102355543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125081910720).

102355543000 is an abundant number, since it is smaller than the sum of its proper divisors (147808278440).

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

102355543000 is a wasteful number, since it uses less digits than its factorization.

102355543000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 102355543000 in words is "one hundred two billion, three hundred fifty-five million, five hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 1901 2300 2341 2875 3802 4600 4682 5750 7604 9364 9505 11500 11705 15208 18728 19010 23000 23410 38020 43723 46820 47525 53843 58525 76040 87446 93640 95050 107686 117050 174892 190100 215372 218615 234100 237625 269215 292625 349784 380200 430744 437230 468200 475250 538430 585250 874460 950500 1076860 1093075 1170500 1346075 1748920 1901000 2153720 2186150 2341000 2692150 4372300 4450241 5384300 5465375 6730375 8744600 8900482 10768600 10930750 13460750 17800964 21861500 22251205 26921500 35601928 43723000 44502410 53843000 89004820 102355543 111256025 178009640 204711086 222512050 409422172 445024100 511777715 556280125 818844344 890048200 1023555430 1112560250 2047110860 2225120500 2558888575 4094221720 4450241000 5117777150 10235554300 12794442875 20471108600 25588885750 51177771500 102355543000