Search a number
-
+
131335214245300 = 2252131794129136691
BaseRepresentation
bin11101110111001011011100…
…110010101010010110110100
3122020000112010220011202020101
4131313023130302222112310
5114203244004321322200
61143154321533043444
736443441020424302
oct3567133462522664
9566015126152211
10131335214245300
1138935a515a308a
1212891789626584
135838b1c0a7560
1424609304a3272
15102b4e4c6e26a
hex7772dccaa5b4

131335214245300 has 144 divisors (see below), whose sum is σ = 308711938046400. Its totient is φ = 48210059980800.

The previous prime is 131335214245273. The next prime is 131335214245307. The reversal of 131335214245300 is 3542412533131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131335214245300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131335214245307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960749955 + ... + 960886645.

It is an arithmetic number, because the mean of its divisors is an integer number (2143832903100).

Almost surely, 2131335214245300 is an apocalyptic number.

131335214245300 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 131335214245300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154355969023200).

131335214245300 is an abundant number, since it is smaller than the sum of its proper divisors (177376723801100).

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

131335214245300 is a wasteful number, since it uses less digits than its factorization.

131335214245300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141026 (or 141019 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 131335214245300 its reverse (3542412533131), we get a palindrome (134877626778431).

The spelling of 131335214245300 in words is "one hundred thirty-one trillion, three hundred thirty-five billion, two hundred fourteen million, two hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 179 260 325 358 650 716 895 1300 1790 2327 3580 4129 4475 4654 8258 8950 9308 11635 16516 17900 20645 23270 41290 46540 53677 58175 82580 103225 107354 116350 136691 206450 214708 232700 268385 273382 412900 536770 546764 683455 739091 1073540 1341925 1366910 1478182 1776983 2683850 2733820 2956364 3417275 3553966 3695455 5367700 6834550 7107932 7390910 8884915 9608183 13669100 14781820 17769830 18477275 19216366 24467689 35539660 36954550 38432732 44424575 48040915 48935378 73909100 88849150 96081830 97870756 122338445 177698300 192163660 240204575 244676890 318079957 480409150 489353780 564397139 611692225 636159914 960818300 1128794278 1223384450 1272319828 1590399785 2257588556 2446768900 2821985695 3180799570 5643971390 6361599140 7337162807 7951998925 11287942780 14109928475 14674325614 15903997850 28219856950 29348651228 31807995700 36685814035 56439713900 73371628070 101027087881 146743256140 183429070175 202054175762 366858140350 404108351524 505135439405 733716280700 1010270878810 1313352142453 2020541757620 2525677197025 2626704284906 5051354394050 5253408569812 6566760712265 10102708788100 13133521424530 26267042849060 32833803561325 65667607122650 131335214245300