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11330322313032 = 23322934283125399
BaseRepresentation
bin1010010011100000101111…
…0101100010111101001000
31111010011112122100210210100
42210320023311202331020
52441114000003004112
640033024521045400
72246405643415662
oct244701365427510
944104478323710
1011330322313032
113679187623848
12132ba86026860
136425a2328a08
142b2567863532
15149adae0c2dc
hexa4e0bd62f48

11330322313032 has 96 divisors (see below), whose sum is σ = 30798455688000. Its totient is φ = 3762975285888.

The previous prime is 11330322312961. The next prime is 11330322313081. The reversal of 11330322313032 is 23031322303311.

11330322313032 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 322 + 31 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11330322312987 and 11330322313005.

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, 90291469 + ... + 90416867.

It is an arithmetic number, because the mean of its divisors is an integer number (320817246750).

Almost surely, 211330322313032 is an apocalyptic number.

11330322313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330322313032 is an abundant number, since it is smaller than the sum of its proper divisors (19468133374968).

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

11330322313032 is a wasteful number, since it uses less digits than its factorization.

11330322313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129987 (or 129980 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11330322313032 its reverse (23031322303311), we get a palindrome (34361644616343).

The spelling of 11330322313032 in words is "eleven trillion, three hundred thirty billion, three hundred twenty-two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 4283 5274 7032 8566 10548 12849 17132 21096 25698 34264 38547 51396 77094 102792 125399 154188 250798 308376 376197 501596 752394 1003192 1128591 1254919 1504788 2257182 2509838 3009576 3764757 4514364 5019676 7529514 9028728 10039352 11294271 15059028 22588542 30118056 36741907 45177084 73483814 90354168 110225721 146967628 220451442 293935256 330677163 440902884 537083917 661354326 881805768 1074167834 1322708652 1611251751 2148335668 2645417304 3222503502 4296671336 4833755253 6445007004 9667510506 12890014008 19335021012 38670042024 157365587681 314731175362 472096763043 629462350724 944193526086 1258924701448 1416290289129 1888387052172 2832580578258 3776774104344 5665161156516 11330322313032