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205131300623 = 2357126875813
BaseRepresentation
bin1011111100001011000…
…1110011111100001111
3201121110221201202122122
42333002301303330033
511330102103104443
6234122551403155
720551226200064
oct2770261637417
9647427652578
10205131300623
1179aa52a9317
123390a0834bb
1316461430532
149cdd7a0c6b
155508bb4968
hex2fc2c73f0f

205131300623 has 16 divisors (see below), whose sum is σ = 214541623296. Its totient is φ = 195762341280.

The previous prime is 205131300611. The next prime is 205131300637. The reversal of 205131300623 is 326003131502.

It is a cyclic number.

It is not a de Polignac number, because 205131300623 - 24 = 205131300607 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205131300592 and 205131300601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205131300653) 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 15 ways as a sum of consecutive naturals, for example, 35285465 + ... + 35291277.

It is an arithmetic number, because the mean of its divisors is an integer number (13408851456).

Almost surely, 2205131300623 is an apocalyptic number.

205131300623 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

205131300623 is a deficient number, since it is larger than the sum of its proper divisors (9410322673).

205131300623 is a wasteful number, since it uses less digits than its factorization.

205131300623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094.

The product of its (nonzero) digits is 3240, while the sum is 26.

The spelling of 205131300623 in words is "two hundred five billion, one hundred thirty-one million, three hundred thousand, six hundred twenty-three".

Divisors: 1 23 571 2687 5813 13133 61801 133699 1534277 3319223 15619531 35288371 76342129 359249213 8918752201 205131300623