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11131241441200 = 2452145511912453
BaseRepresentation
bin1010000111111011000110…
…1100010010011110110000
31110102010200100120200002221
42201332301230102132300
52424333240302104300
635401342143050424
72226130353055636
oct241766154223660
943363610520087
1011131241441200
11360180766a201
1212b93862a0a14
1362989656c87a
142a6a7d87b356
151448384e231a
hexa1fb1b127b0

11131241441200 has 60 divisors (see below), whose sum is σ = 26744659414288. Its totient is φ = 4452188256000.

The previous prime is 11131241441179. The next prime is 11131241441227. The reversal of 11131241441200 is 214414213111.

11131241441200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4864174 + ... + 6776626.

Almost surely, 211131241441200 is an apocalyptic number.

11131241441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131241441200 is an abundant number, since it is smaller than the sum of its proper divisors (15613417973088).

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

11131241441200 is a wasteful number, since it uses less digits than its factorization.

11131241441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927022 (or 1927011 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 11131241441200 its reverse (214414213111), we get a palindrome (11345655654311).

The spelling of 11131241441200 in words is "eleven trillion, one hundred thirty-one billion, two hundred forty-one million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 14551 29102 58204 72755 116408 145510 232816 291020 363775 582040 727550 1164080 1455100 1912453 2910200 3824906 5820400 7649812 9562265 15299624 19124530 30599248 38249060 47811325 76498120 95622650 152996240 191245300 382490600 764981200 27828103603 55656207206 111312414412 139140518015 222624828824 278281036030 445249657648 556562072060 695702590075 1113124144120 1391405180150 2226248288240 2782810360300 5565620720600 11131241441200