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11331331312203 = 347195503191137
BaseRepresentation
bin1010010011100100011111…
…1110100100101001001011
31111010021010221222021110000
42210321013332210221023
52441123031303442303
640033313003254043
72246442644650350
oct244710776445113
944107127867400
1011331331312203
113679655133861
121330107b1a323
13642703397046
142b2621874627
15149b497b9da3
hexa4e47fa4a4b

11331331312203 has 80 divisors (see below), whose sum is σ = 20367175966720. Its totient is φ = 6133107746304.

The previous prime is 11331331312201. The next prime is 11331331312229. The reversal of 11331331312203 is 30221313313311.

11331331312203 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 31 + 312 + 2 + 0 + 3 = 666.

It is not a de Polignac number, because 11331331312203 - 21 = 11331331312201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331331312201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59188251 + ... + 59379387.

It is an arithmetic number, because the mean of its divisors is an integer number (254589699584).

Almost surely, 211331331312203 is an apocalyptic number.

11331331312203 is a deficient number, since it is larger than the sum of its proper divisors (9035844654517).

11331331312203 is a wasteful number, since it uses less digits than its factorization.

11331331312203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196678 (or 196669 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331331312203 its reverse (30221313313311), we get a palindrome (41552644625514).

The spelling of 11331331312203 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty-one million, three hundred twelve thousand, two hundred three".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 5503 10773 16509 38521 49527 104557 115563 148581 191137 313671 346689 445743 573411 731899 941013 1040067 1337959 1720233 2195697 2823039 3120201 3631603 4013877 5160699 6587091 8469117 10894809 12041631 15482097 19761273 25421221 32684427 36124893 59283819 76263663 98053281 108374679 228790989 294159843 686372967 1051826911 2059118901 3155480733 7362788377 9466442199 19984711309 22088365131 28399326597 59954133927 66265095393 85197979791 139892979163 179862401781 198795286179 419678937489 539587205343 596385858537 1259036812467 1618761616029 3777110437401 11331331312203