Search a number
-
+
205351261366013 = 71910773531433137
BaseRepresentation
bin101110101100010000010000…
…111111001110011011111101
3222221002101111110222102020022
4232230100100333032123331
5203403433340402203023
62004425022300101525
761153065455400110
oct5654202077163375
9887071443872208
10205351261366013
115a481a875aa104
121b046549b348a5
138a77705350889
14389d0a8584577
1518b19ce4227c8
hexbac410fce6fd

205351261366013 has 16 divisors (see below), whose sum is σ = 247039513096320. Its totient is φ = 166751129074176.

The previous prime is 205351261366007. The next prime is 205351261366021. The reversal of 205351261366013 is 310663162153502.

It is a cyclic number.

It is not a de Polignac number, because 205351261366013 - 214 = 205351261349629 is a prime.

It is a super-2 number, since 2×2053512613660132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205351261366513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142571381 + ... + 144004517.

It is an arithmetic number, because the mean of its divisors is an integer number (15439969568520).

Almost surely, 2205351261366013 is an apocalyptic number.

It is an amenable number.

205351261366013 is a deficient number, since it is larger than the sum of its proper divisors (41688251730307).

205351261366013 is a wasteful number, since it uses less digits than its factorization.

205351261366013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510516.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 205351261366013 in words is "two hundred five trillion, three hundred fifty-one billion, two hundred sixty-one million, three hundred sixty-six thousand, thirteen".

Divisors: 1 7 19 133 1077353 1433137 7541471 10031959 20469707 27229603 143287949 190607221 1543994446361 10807961124527 29335894480859 205351261366013