Search a number
-
+
132103414133200 = 24524392887260581
BaseRepresentation
bin11110000010010110111001…
…000100101011000111010000
3122022201222000001210102021101
4132002112321010223013100
5114303340243004230300
61144543245354434144
736553104515635246
oct3602267104530720
9568658001712241
10132103414133200
113910181a3929a4
121299663a132954
1358933b5a5ca43
142489ba72b8796
1510414a63aab6a
hex7825b912b1d0

132103414133200 has 120 divisors (see below), whose sum is σ = 318212815437440. Its totient is φ = 52702534310400.

The previous prime is 132103414133123. The next prime is 132103414133293. The reversal of 132103414133200 is 2331414301231.

It is a congruent number.

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, 506826910 + ... + 507087490.

Almost surely, 2132103414133200 is an apocalyptic number.

132103414133200 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 132103414133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159106407718720).

132103414133200 is an abundant number, since it is smaller than the sum of its proper divisors (186109401304240).

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

132103414133200 is a wasteful number, since it uses less digits than its factorization.

132103414133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263925 (or 263914 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 132103414133200 its reverse (2331414301231), we get a palindrome (134434828434431).

The spelling of 132103414133200 in words is "one hundred thirty-two trillion, one hundred three billion, four hundred fourteen million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 439 878 1756 2195 2887 3512 4390 5774 7024 8780 10975 11548 14435 17560 21950 23096 28870 35120 43900 46192 57740 72175 87800 115480 144350 175600 230960 260581 288700 521162 577400 1042324 1154800 1267393 1302905 2084648 2534786 2605810 4169296 5069572 5211620 6336965 6514525 10139144 10423240 12673930 13029050 20278288 20846480 25347860 26058100 31684825 50695720 52116200 63369650 101391440 104232400 114395059 126739300 228790118 253478600 457580236 506957200 571975295 752297347 915160472 1143950590 1504594694 1830320944 2287901180 2859876475 3009189388 3761486735 4575802360 5719752950 6018378776 7522973470 9151604720 11439505900 12036757552 15045946940 18807433675 22879011800 30091893880 37614867350 45758023600 60183787760 75229734700 150459469400 300918938800 330258535333 660517070666 1321034141332 1651292676665 2642068282664 3302585353330 5284136565328 6605170706660 8256463383325 13210341413320 16512926766650 26420682826640 33025853533300 66051707066600 132103414133200