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11331321033020 = 22517127617425317
BaseRepresentation
bin1010010011100100011101…
…0111010111000100111100
31111010021010020122001001112
42210321013113113010330
52441123021141024040
640033311555101152
72246442461406032
oct244710727270474
944107106561045
1011331321033020
11367964a35296a
1213301045a17b8
136427012083a1
142b262035a552
15149b48939365
hexa4e475d713c

11331321033020 has 96 divisors (see below), whose sum is σ = 25435132434432. Its totient is φ = 4225449811968.

The previous prime is 11331321033001. The next prime is 11331321033023. The reversal of 11331321033020 is 2033012313311.

It is a super-2 number, since 2×113313210330202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331321033023) 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 31 ways as a sum of consecutive naturals, for example, 26429402 + ... + 26854718.

It is an arithmetic number, because the mean of its divisors is an integer number (264949296192).

Almost surely, 211331321033020 is an apocalyptic number.

11331321033020 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 11331321033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12717566217216).

11331321033020 is an abundant number, since it is smaller than the sum of its proper divisors (14103811401412).

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

11331321033020 is a wasteful number, since it uses less digits than its factorization.

11331321033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426087 (or 426085 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 11331321033020 its reverse (2033012313311), we get a palindrome (13364333346331).

The spelling of 11331321033020 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 617 635 1234 1270 2159 2468 2540 3085 4318 6170 8636 10489 10795 12340 20978 21590 41956 43180 52445 78359 104890 156718 209780 313436 391795 425317 783590 850634 1332103 1567180 1701268 2126585 2664206 4253170 5328412 6660515 7230389 8506340 13321030 14460778 26642060 28921556 36151945 54015259 72303890 108030518 144607780 216061036 262420589 270076295 524841178 540152590 918259403 1049682356 1080305180 1312102945 1836518806 2624205890 3673037612 4461150013 4591297015 5248411780 8922300026 9182594030 17844600052 18365188060 22305750065 33327414803 44611500130 66654829606 89223000260 133309659212 166637074015 333274148030 566566051651 666548296060 1133132103302 2266264206604 2832830258255 5665660516510 11331321033020