Search a number
-
+
11330212333200 = 2435236432591777
BaseRepresentation
bin1010010011100000010101…
…0010000000011010010000
31111010011020222102020211020
42210320011102000122100
52441113233324130300
640033005551515440
72246403136540035
oct244700522003220
944104228366736
1011330212333200
113679130536322
12132ba55228b80
136425855cc8a7
142b2556dd538c
15149ad14358a0
hexa4e05480690

11330212333200 has 120 divisors (see below), whose sum is σ = 36304423639008. Its totient is φ = 3020559421440.

The previous prime is 11330212333177. The next prime is 11330212333291. The reversal of 11330212333200 is 233321203311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3075712 + ... + 5667488.

Almost surely, 211330212333200 is an apocalyptic number.

11330212333200 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 11330212333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18152211819504).

11330212333200 is an abundant number, since it is smaller than the sum of its proper divisors (24974211305808).

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

11330212333200 is a wasteful number, since it uses less digits than its factorization.

11330212333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595441 (or 2595430 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11330212333200 its reverse (233321203311), we get a palindrome (11563533536511).

The spelling of 11330212333200 in words is "eleven trillion, three hundred thirty billion, two hundred twelve million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3643 7286 10929 14572 18215 21858 29144 36430 43716 54645 58288 72860 87432 91075 109290 145720 174864 182150 218580 273225 291440 364300 437160 546450 728600 874320 1092900 1457200 2185800 2591777 4371600 5183554 7775331 10367108 12958885 15550662 20734216 25917770 31101324 38876655 41468432 51835540 62202648 64794425 77753310 103671080 124405296 129588850 155506620 194383275 207342160 259177700 311013240 388766550 518355400 622026480 777533100 1036710800 1555066200 3110132400 9441843611 18883687222 28325530833 37767374444 47209218055 56651061666 75534748888 94418436110 113302123332 141627654165 151069497776 188836872220 226604246664 236046090275 283255308330 377673744440 453208493328 472092180550 566510616660 708138270825 755347488880 944184361100 1133021233320 1416276541650 1888368722200 2266042466640 2832553083300 3776737444400 5665106166600 11330212333200