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103314713872 = 2453238151169
BaseRepresentation
bin110000000111000001…
…0010110110100010000
3100212200011212020212011
41200032002112310100
53143042031320442
6115243452512304
710315143402226
oct1401602266420
9325604766764
10103314713872
113a8a750a757
1218033a7b694
1399864740b6
14500138ab16
152a4a247117
hex180e096d10

103314713872 has 40 divisors (see below), whose sum is σ = 204038737560. Its totient is φ = 50660413440.

The previous prime is 103314713867. The next prime is 103314713893. The reversal of 103314713872 is 278317413301.

103314713872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1709326336 + 101605387536 = 41344^2 + 318756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993504 + ... + 2044672.

It is an arithmetic number, because the mean of its divisors is an integer number (5100968439).

Almost surely, 2103314713872 is an apocalyptic number.

It is an amenable number.

103314713872 is a deficient number, since it is larger than the sum of its proper divisors (100724023688).

103314713872 is a wasteful number, since it uses less digits than its factorization.

103314713872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53611 (or 53605 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 103314713872 in words is "one hundred three billion, three hundred fourteen million, seven hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 53 106 212 424 848 2381 4762 9524 19048 38096 51169 102338 126193 204676 252386 409352 504772 818704 1009544 2019088 2711957 5423914 10847828 21695656 43391312 121833389 243666778 487333556 974667112 1949334224 6457169617 12914339234 25828678468 51657356936 103314713872