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11331203133030 = 235111012391422469
BaseRepresentation
bin1010010011100100000001…
…0101100110111001100110
31111010020211000210002200020
42210321000111212321212
52441122301000224110
640033252144100010
72246436530312214
oct244710025467146
944106730702606
1011331203133030
113679599845960
121330091004606
136426b2968291
142b260c829cb4
15149b3d3ead70
hexa4e40566e66

11331203133030 has 128 divisors (see below), whose sum is σ = 30086264678400. Its totient is φ = 2708379072000.

The previous prime is 11331203132989. The next prime is 11331203133079. The reversal of 11331203133030 is 3033130213311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7254636 + ... + 8677104.

It is an arithmetic number, because the mean of its divisors is an integer number (235048942800).

Almost surely, 211331203133030 is an apocalyptic number.

11331203133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331203133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043132339200).

11331203133030 is an abundant number, since it is smaller than the sum of its proper divisors (18755061545370).

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

11331203133030 is a wasteful number, since it uses less digits than its factorization.

11331203133030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422830.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 11331203133030 its reverse (3033130213311), we get a palindrome (14364333346341).

The spelling of 11331203133030 in words is "eleven trillion, three hundred thirty-one billion, two hundred three million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 239 303 330 478 505 606 717 1010 1111 1195 1434 1515 2222 2390 2629 3030 3333 3585 5258 5555 6666 7170 7887 11110 13145 15774 16665 24139 26290 33330 39435 48278 72417 78870 120695 144834 241390 265529 362085 531058 724170 796587 1327645 1422469 1593174 2655290 2844938 3982935 4267407 7112345 7965870 8534814 14224690 15647159 21337035 31294318 42674070 46941477 78235795 93882954 143669369 156471590 234707385 287338738 339970091 431008107 469414770 679940182 718346845 862016214 1019910273 1436693690 1580363059 1699850455 2039820546 2155040535 3160726118 3399700910 3739671001 4310081070 4741089177 5099551365 7479342002 7901815295 9482178354 10199102730 11219013003 15803630590 18698355005 22438026006 23705445885 34336979191 37396710010 47410891770 56095065015 68673958382 103010937573 112190130030 171684895955 206021875146 343369791910 377706771101 515054687865 755413542202 1030109375730 1133120313303 1888533855505 2266240626606 3777067711010 5665601566515 11331203133030