Search a number
-
+
11123012202100 = 2252293835521449
BaseRepresentation
bin1010000111011100011100…
…1100001110111001110100
31110101100102211211000021121
42201313013030032321310
52424214412110431400
635353501413553324
72225416416512131
oct241670714167164
943340384730247
1011123012202100
1135a9274459057
1212b786a345844
13628b846a5916
142a64dc97d588
15144505d1421a
hexa1dc730ee74

11123012202100 has 36 divisors (see below), whose sum is σ = 24969244639500. Its totient is φ = 4295784021760.

The previous prime is 11123012202079. The next prime is 11123012202119. The reversal of 11123012202100 is 120221032111.

It can be written as a sum of positive squares in 6 ways, for example, as 6002530576 + 11117009671524 = 77476^2 + 3334218^2 .

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 11 ways as a sum of consecutive naturals, for example, 1917757825 + ... + 1917763624.

It is an arithmetic number, because the mean of its divisors is an integer number (693590128875).

Almost surely, 211123012202100 is an apocalyptic number.

11123012202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123012202100 is an abundant number, since it is smaller than the sum of its proper divisors (13846232437400).

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

11123012202100 is a wasteful number, since it uses less digits than its factorization.

11123012202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835521492 (or 3835521485 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11123012202100 its reverse (120221032111), we get a palindrome (11243233234211).

The spelling of 11123012202100 in words is "eleven trillion, one hundred twenty-three billion, twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3835521449 7671042898 15342085796 19177607245 38355214490 76710428980 95888036225 111230122021 191776072450 222460244042 383552144900 444920488084 556150610105 1112301220210 2224602440420 2780753050525 5561506101050 11123012202100