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103113532512 = 2532734904563
BaseRepresentation
bin110000000001000001…
…0111010010001100000
3100212011011022011220200
41200002002322101200
53142134031020022
6115211504505200
710310151364524
oct1400202722140
9325134264820
10103113532512
113a8039a0171
1217b9861b200
139953895183
144dc277bd84
152a37757bac
hex18020ba460

103113532512 has 72 divisors (see below), whose sum is σ = 297246005784. Its totient is φ = 33900332544.

The previous prime is 103113532477. The next prime is 103113532549. The reversal of 103113532512 is 215235311301.

103113532512 is a `hidden beast` number, since 1 + 0 + 3 + 113 + 5 + 32 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2431258 + ... + 2473305.

It is an arithmetic number, because the mean of its divisors is an integer number (4128416747).

Almost surely, 2103113532512 is an apocalyptic number.

103113532512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103113532512 is an abundant number, since it is smaller than the sum of its proper divisors (194132473272).

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

103113532512 is a wasteful number, since it uses less digits than its factorization.

103113532512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904652 (or 4904641 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 103113532512 its reverse (215235311301), we get a palindrome (318348843813).

The spelling of 103113532512 in words is "one hundred three billion, one hundred thirteen million, five hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 4904563 9809126 14713689 19618252 29427378 39236504 44141067 58854756 78473008 88282134 117709512 156946016 176564268 235419024 353128536 358033099 470838048 706257072 716066198 1074099297 1412514144 1432132396 2148198594 2864264792 3222297891 4296397188 5728529584 6444595782 8592794376 11457059168 12889191564 17185588752 25778383128 34371177504 51556766256 103113532512