Search a number
-
+
10132020030200 = 2352223494345959
BaseRepresentation
bin1001001101110000101101…
…1101000110101011111000
31022212121111220012122221112
42103130023131012223320
52312000334111431300
633314330304255452
72064004621156445
oct223341335065370
938777456178845
1010132020030200
113256a691907a2
1211777a1011588
135865a369b4a3
1427056c9c89cc
151288552c3e35
hex9370b746af8

10132020030200 has 96 divisors (see below), whose sum is σ = 23667885158400. Its totient is φ = 4033729983360.

The previous prime is 10132020030193. The next prime is 10132020030263. The reversal of 10132020030200 is 203002023101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220434821 + ... + 220480779.

It is an arithmetic number, because the mean of its divisors is an integer number (246540470400).

Almost surely, 210132020030200 is an apocalyptic number.

10132020030200 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 10132020030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833942579200).

10132020030200 is an abundant number, since it is smaller than the sum of its proper divisors (13535865128200).

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

10132020030200 is a wasteful number, since it uses less digits than its factorization.

10132020030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51141 (or 51132 counting only the distinct ones).

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

Adding to 10132020030200 its reverse (203002023101), we get a palindrome (10335022053301).

The spelling of 10132020030200 in words is "ten trillion, one hundred thirty-two billion, twenty million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2230 4460 4943 5575 8920 9886 11150 19772 22300 24715 39544 44600 45959 49430 91918 98860 123575 183836 197720 229795 247150 367672 459590 494300 919180 988600 1102289 1148975 1838360 2204578 2297950 4409156 4595900 5511445 8818312 9191800 10248857 11022890 20497714 22045780 27557225 40995428 44091560 51244285 55114450 81990856 102488570 110228900 204977140 220457800 227175337 256221425 409954280 454350674 512442850 908701348 1024885700 1135876685 1817402696 2049771400 2271753370 4543506740 5679383425 9087013480 11358766850 22717533700 45435067400 50660100151 101320200302 202640400604 253300500755 405280801208 506601001510 1013202003020 1266502503775 2026404006040 2533005007550 5066010015100 10132020030200