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103636532340 = 223251152341683
BaseRepresentation
bin110000010000100110…
…1111111110001110100
3100220111121102022210200
41200201031333301310
53144221423013330
6115335430320500
710326131663415
oct1404115776164
9326447368720
10103636532340
113aa52136730
12181037b9130
139a08040c23
145031ddd80c
152a68615a60
hex182137fc74

103636532340 has 72 divisors (see below), whose sum is σ = 342942713568. Its totient is φ = 25124007360.

The previous prime is 103636532317. The next prime is 103636532371. The reversal of 103636532340 is 43235636301.

103636532340 is a `hidden beast` number, since 1 + 0 + 363 + 65 + 3 + 234 + 0 = 666.

103636532340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1036365323403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103636532295 and 103636532304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26168862 + ... + 26172821.

It is an arithmetic number, because the mean of its divisors is an integer number (4763093244).

Almost surely, 2103636532340 is an apocalyptic number.

103636532340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103636532340 is an abundant number, since it is smaller than the sum of its proper divisors (239306181228).

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

103636532340 is a wasteful number, since it uses less digits than its factorization.

103636532340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52341709 (or 52341704 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 103636532340 in words is "one hundred three billion, six hundred thirty-six million, five hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 52341683 104683366 157025049 209366732 261708415 314050098 471075147 523416830 575758513 628100196 785125245 942150294 1046833660 1151517026 1570250490 1727275539 1884300588 2303034052 2355375735 2878792565 3140500980 3454551078 4710751470 5181826617 5757585130 6909102156 8636377695 9421502940 10363653234 11515170260 17272755390 20727306468 25909133085 34545510780 51818266170 103636532340