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205320134525 = 52113735475689
BaseRepresentation
bin1011111100111000001…
…0001001111101111101
3201121222010001112001212
42333032002021331331
511330443423301100
6234153415014205
720556011230202
oct2771602117575
9647863045055
10205320134525
117a091954aa0
123396136a365
13164915a827c
149d1a8b7ca9
15551a565635
hex2fce089f7d

205320134525 has 48 divisors (see below), whose sum is σ = 285379264320. Its totient is φ = 145221465600.

The previous prime is 205320134521. The next prime is 205320134527. The reversal of 205320134525 is 525431023502.

It is not a de Polignac number, because 205320134525 - 22 = 205320134521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205320134491 and 205320134500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205320134521) 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 47 ways as a sum of consecutive naturals, for example, 36087881 + ... + 36093569.

It is an arithmetic number, because the mean of its divisors is an integer number (5945401340).

Almost surely, 2205320134525 is an apocalyptic number.

205320134525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205320134525 is a deficient number, since it is larger than the sum of its proper divisors (80059129795).

205320134525 is a wasteful number, since it uses less digits than its factorization.

205320134525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 205320134525 in words is "two hundred five billion, three hundred twenty million, one hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 5 11 25 37 55 185 275 407 925 2035 3547 5689 10175 17735 28445 39017 62579 88675 131239 142225 195085 210493 312895 656195 975425 1052465 1443629 1564475 2315423 3280975 5262325 7218145 11577115 20178883 36090725 57885575 100894415 221967713 504472075 746618671 1109838565 3733093355 5549192825 8212805381 18665466775 41064026905 205320134525