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11305216620 = 2232561216879
BaseRepresentation
bin10101000011101011…
…11110101001101100
31002011212202111201200
422201311332221230
5141123113412440
65105450005500
7550103520135
oct124165765154
932155674650
1011305216620
114881555635
122236116890
1310b22309b9
14793640c8c
1546277dc30
hex2a1d7ea6c

11305216620 has 108 divisors (see below), whose sum is σ = 34865943840. Its totient is φ = 2965127040.

The previous prime is 11305216609. The next prime is 11305216621. The reversal of 11305216620 is 2661250311.

11305216620 is a `hidden beast` number, since 1 + 1 + 30 + 5 + 2 + 1 + 6 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305216621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661341 + ... + 678219.

Almost surely, 211305216620 is an apocalyptic number.

11305216620 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 11305216620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432971920).

11305216620 is an abundant number, since it is smaller than the sum of its proper divisors (23560727220).

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

11305216620 is a wasteful number, since it uses less digits than its factorization.

11305216620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17016 (or 16950 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11305216620 its reverse (2661250311), we get a palindrome (13966466931).

The spelling of 11305216620 in words is "eleven billion, three hundred five million, two hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 3721 5490 7442 10980 11163 14884 16879 18605 22326 33489 33758 37210 44652 50637 55815 66978 67516 74420 84395 101274 111630 133956 151911 167445 168790 202548 223260 253185 303822 334890 337580 506370 607644 669780 759555 1012740 1029619 1519110 2059238 3038220 3088857 4118476 5148095 6177714 9266571 10296190 12355428 15444285 18533142 20592380 30888570 37066284 46332855 61777140 62806759 92665710 125613518 185331420 188420277 251227036 314033795 376840554 565260831 628067590 753681108 942101385 1130521662 1256135180 1884202770 2261043324 2826304155 3768405540 5652608310 11305216620