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11350532205 = 3251753279949
BaseRepresentation
bin10101001001000101…
…10110000001101101
31002022001000210000200
422210202312001231
5141221214012310
65114145144113
7551163634425
oct124442660155
932261023020
1011350532205
1148a5096931
12224932b039
1310bb738b5c
14799679485
154667309c0
hex2a48b606d

11350532205 has 48 divisors (see below), whose sum is σ = 21224689200. Its totient is φ = 5590001664.

The previous prime is 11350532201. The next prime is 11350532213. The reversal of 11350532205 is 50223505311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 128731716 + 11221800489 = 11346^2 + 105933^2 .

It is not a de Polignac number, because 11350532205 - 22 = 11350532201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11350532201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99430 + ... + 180519.

It is an arithmetic number, because the mean of its divisors is an integer number (442181025).

Almost surely, 211350532205 is an apocalyptic number.

11350532205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11350532205 is a deficient number, since it is larger than the sum of its proper divisors (9874156995).

11350532205 is a wasteful number, since it uses less digits than its factorization.

11350532205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280030 (or 280027 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 11350532205 in words is "eleven billion, three hundred fifty million, five hundred thirty-two thousand, two hundred five".

Divisors: 1 3 5 9 15 17 45 51 53 85 153 159 255 265 477 765 795 901 2385 2703 4505 8109 13515 40545 279949 839847 1399745 2519541 4199235 4759133 12597705 14277399 14837297 23795665 42832197 44511891 71386995 74186485 133535673 214160985 222559455 252234049 667678365 756702147 1261170245 2270106441 3783510735 11350532205