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103929684200 = 235243118710181
BaseRepresentation
bin110000011001010110…
…0010010000011101000
3100221021001000222112222
41200302230102003220
53200321444343300
6115424501453212
710336321511516
oct1406254220350
9327231028488
10103929684200
1140092662aa1
1218185a11208
139a539b1974
14505cd0d4b6
152a84220785
hex1832b120e8

103929684200 has 96 divisors (see below), whose sum is σ = 247488579360. Its totient is φ = 40566892800.

The previous prime is 103929684151. The next prime is 103929684211. The reversal of 103929684200 is 2486929301.

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, 10203110 + ... + 10213290.

It is an arithmetic number, because the mean of its divisors is an integer number (2578006035).

Almost surely, 2103929684200 is an apocalyptic number.

103929684200 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 103929684200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123744289680).

103929684200 is an abundant number, since it is smaller than the sum of its proper divisors (143558895160).

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

103929684200 is a wasteful number, since it uses less digits than its factorization.

103929684200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 103929684200 in words is "one hundred three billion, nine hundred twenty-nine million, six hundred eighty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1187 1720 2150 2374 4300 4748 5935 8600 9496 10181 11870 20362 23740 29675 40724 47480 50905 51041 59350 81448 101810 102082 118700 203620 204164 237400 254525 255205 407240 408328 437783 509050 510410 875566 1018100 1020820 1276025 1751132 2036200 2041640 2188915 2552050 3502264 4377830 5104100 8755660 10208200 10944575 12084847 17511320 21889150 24169694 43778300 48339388 60424235 87556600 96678776 120848470 241696940 302121175 483393880 519648421 604242350 1039296842 1208484700 2078593684 2416969400 2598242105 4157187368 5196484210 10392968420 12991210525 20785936840 25982421050 51964842100 103929684200