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11332131210320 = 2452571361404977
BaseRepresentation
bin1010010011100111011110…
…1001111100010001010000
31111010100012201010022101012
42210321313221330101100
52441131201042212240
640033524220030052
72246501526661004
oct244716751742120
944110181108335
1011332131210320
113679a25705088
1213302ab992328
1364280001273b
142b2699bb4704
15149b94b21b65
hexa4e77a7c450

11332131210320 has 80 divisors (see below), whose sum is σ = 26469222767568. Its totient is φ = 4511886213120.

The previous prime is 11332131210221. The next prime is 11332131210371. The reversal of 11332131210320 is 2301213123311.

11332131210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 95315447824 + 11236815762496 = 308732^2 + 3352136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27779672 + ... + 28184648.

Almost surely, 211332131210320 is an apocalyptic number.

11332131210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332131210320 is an abundant number, since it is smaller than the sum of its proper divisors (15137091557248).

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

11332131210320 is a wasteful number, since it uses less digits than its factorization.

11332131210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406608 (or 406602 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 11332131210320 its reverse (2301213123311), we get a palindrome (13633344333631).

The spelling of 11332131210320 in words is "eleven trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1285 1361 2056 2570 2722 4112 5140 5444 6805 10280 10888 13610 20560 21776 27220 54440 108880 349777 404977 699554 809954 1399108 1619908 1748885 2024885 2798216 3239816 3497770 4049770 5596432 6479632 6995540 8099540 13991080 16199080 27982160 32398160 104079089 208158178 416316356 520395445 551173697 832632712 1040790890 1102347394 1665265424 2081581780 2204694788 2755868485 4163163560 4409389576 5511736970 8326327120 8818779152 11023473940 22046947880 44093895760 141651640129 283303280258 566606560516 708258200645 1133213121032 1416516401290 2266426242064 2833032802580 5666065605160 11332131210320