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100303102320 = 2435478892119
BaseRepresentation
bin101110101101010000…
…1111110000101110000
3100120220021222112110120
41131122201332011300
53120410043233240
6114024551330240
710150414205511
oct1353241760560
9316807875416
10100303102320
11395a1539393
1217533380980
1395c6555625
144bd7400a08
152920b5cad0
hex175a87e170

100303102320 has 80 divisors (see below), whose sum is σ = 317555389440. Its totient is φ = 26178395392.

The previous prime is 100303102241. The next prime is 100303102337. The reversal of 100303102320 is 23201303001.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100303102320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4434780 + ... + 4457339.

It is an arithmetic number, because the mean of its divisors is an integer number (3969442368).

Almost surely, 2100303102320 is an apocalyptic number.

100303102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100303102320 is an abundant number, since it is smaller than the sum of its proper divisors (217252287120).

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

100303102320 is a wasteful number, since it uses less digits than its factorization.

100303102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892182 (or 8892176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100303102320 its reverse (23201303001), we get a palindrome (123504405321).

The spelling of 100303102320 in words is "one hundred billion, three hundred three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 8892119 17784238 26676357 35568476 44460595 53352714 71136952 88921190 106705428 133381785 142273904 177842380 213410856 266763570 355684760 417929593 426821712 533527140 711369520 835859186 1067054280 1253788779 1671718372 2089647965 2134108560 2507577558 3343436744 4179295930 5015155116 6268943895 6686873488 8358591860 10030310232 12537887790 16717183720 20060620464 25075775580 33434367440 50151551160 100303102320