Search a number
-
+
101320200302000 = 2453223494345959
BaseRepresentation
bin10111000010011001110010…
…100011000010110110110000
3111021202010010222002122110012
4113002121302203002312300
5101240012232234131000
6555253505112554052
730225100005433451
oct2702316243026660
9437663128078405
10101320200302000
112a313723727229
12b44464a0b2928
13446c5b92798b4
141b03cd1103128
15baa886d29735
hex5c26728c2db0

101320200302000 has 160 divisors (see below), whose sum is σ = 246146005647360. Its totient is φ = 40337299833600.

The previous prime is 101320200301981. The next prime is 101320200302029. The reversal of 101320200302000 is 203002023101.

It is a happy number.

101320200302000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204555021 + ... + 2204600979.

It is an arithmetic number, because the mean of its divisors is an integer number (1538412535296).

Almost surely, 2101320200302000 is an apocalyptic number.

101320200302000 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 101320200302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123073002823680).

101320200302000 is an abundant number, since it is smaller than the sum of its proper divisors (144825805345360).

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

101320200302000 is a wasteful number, since it uses less digits than its factorization.

101320200302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51148 (or 51132 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101320200302000 its reverse (203002023101), we get a palindrome (101523202325101).

The spelling of 101320200302000 in words is "one hundred one trillion, three hundred twenty billion, two hundred million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 223 250 400 446 500 892 1000 1115 1784 2000 2230 3568 4460 4943 5575 8920 9886 11150 17840 19772 22300 24715 27875 39544 44600 45959 49430 55750 79088 89200 91918 98860 111500 123575 183836 197720 223000 229795 247150 367672 395440 446000 459590 494300 617875 735344 919180 988600 1102289 1148975 1235750 1838360 1977200 2204578 2297950 2471500 3676720 4409156 4595900 4943000 5511445 5744875 8818312 9191800 9886000 10248857 11022890 11489750 17636624 18383600 20497714 22045780 22979500 27557225 40995428 44091560 45959000 51244285 55114450 81990856 88183120 91918000 102488570 110228900 137786125 163981712 204977140 220457800 227175337 256221425 275572250 409954280 440915600 454350674 512442850 551144500 819908560 908701348 1024885700 1102289000 1135876685 1281107125 1817402696 2049771400 2204578000 2271753370 2562214250 3634805392 4099542800 4543506740 5124428500 5679383425 9087013480 10248857000 11358766850 18174026960 20497714000 22717533700 28396917125 45435067400 50660100151 56793834250 90870134800 101320200302 113587668500 202640400604 227175337000 253300500755 405280801208 454350674000 506601001510 810561602416 1013202003020 1266502503775 2026404006040 2533005007550 4052808012080 5066010015100 6332512518875 10132020030200 12665025037750 20264040060400 25330050075500 50660100151000 101320200302000