Search a number
-
+
41121005301200 = 24521128433287261
BaseRepresentation
bin10010101100110001110101…
…11010011110110111010000
312101121010111120011122021202
421112120322322132313100
520342211304324114300
6223242421250210332
711442615562635326
oct1126307272366720
9171533446148252
1041121005301200
1112114358519820
1247416395839a8
1319c39040c2736
14a223a5595d16
154b49b9815ad5
hex25663ae9edd0

41121005301200 has 120 divisors (see below), whose sum is σ = 107812358112096. Its totient is φ = 14947828672000.

The previous prime is 41121005301197. The next prime is 41121005301217. The reversal of 41121005301200 is 210350012114.

41121005301200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10865570 + ... + 14152830.

Almost surely, 241121005301200 is an apocalyptic number.

41121005301200 is a gapful number since it is divisible by the number (40) 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 41121005301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53906179056048).

41121005301200 is an abundant number, since it is smaller than the sum of its proper divisors (66691352810896).

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

41121005301200 is a wasteful number, since it uses less digits than its factorization.

41121005301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290133 (or 3290122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 41121005301200 its reverse (210350012114), we get a palindrome (41331355313314).

The spelling of 41121005301200 in words is "forty-one trillion, one hundred twenty-one billion, five million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2843 4400 5686 11372 14215 22744 28430 31273 45488 56860 62546 71075 113720 125092 142150 156365 227440 250184 284300 312730 500368 568600 625460 781825 1137200 1250920 1563650 2501840 3127300 3287261 6254600 6574522 12509200 13149044 16436305 26298088 32872610 36159871 52596176 65745220 72319742 82181525 131490440 144639484 164363050 180799355 262980880 289278968 328726100 361598710 578557936 657452200 723197420 903996775 1314904400 1446394840 1807993550 2892789680 3615987100 7231974200 9345683023 14463948400 18691366046 37382732092 46728415115 74765464184 93456830230 102802513253 149530928368 186913660460 205605026506 233642075575 373827320920 411210053012 467284151150 514012566265 747654641840 822420106024 934568302300 1028025132530 1644840212048 1869136604600 2056050265060 2570062831325 3738273209200 4112100530120 5140125662650 8224201060240 10280251325300 20560502650600 41121005301200