Search a number
-
+
11001010056660 = 22325134701286349
BaseRepresentation
bin1010000000010101111101…
…0010111110110111010100
31102221200112022020212120100
42200011133102332313110
52420220032033303120
635221443320334100
72213540166421041
oct240053722766724
942850468225510
1011001010056660
113561558421488
1212980a0014330
1361a510772810
142a06477801c8
151412651c5490
hexa015f4bedd4

11001010056660 has 72 divisors (see below), whose sum is σ = 35936632859400. Its totient is φ = 2707940936448.

The previous prime is 11001010056607. The next prime is 11001010056733. The reversal of 11001010056660 is 6665001010011.

It can be written as a sum of positive squares in 4 ways, for example, as 335011755204 + 10665998301456 = 578802^2 + 3265884^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2350640835 + ... + 2350645514.

It is an arithmetic number, because the mean of its divisors is an integer number (499119900825).

Almost surely, 211001010056660 is an apocalyptic number.

11001010056660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001010056660 is an abundant number, since it is smaller than the sum of its proper divisors (24935622802740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11001010056660 is a wasteful number, since it uses less digits than its factorization.

11001010056660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701286377 (or 4701286372 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 11001010056660 its reverse (6665001010011), we get a palindrome (17666011066671).

The spelling of 11001010056660 in words is "eleven trillion, one billion, ten million, fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4701286349 9402572698 14103859047 18805145396 23506431745 28207718094 42311577141 47012863490 56415436188 61116722537 70519295235 84623154282 94025726980 122233445074 141038590470 169246308564 183350167611 211557885705 244466890148 282077180940 305583612685 366700335222 423115771410 550050502833 611167225370 733400670444 846231542820 916750838055 1100101005666 1222334450740 1833501676110 2200202011332 2750252514165 3667003352220 5500505028330 11001010056660