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11132041400 = 2352232420009
BaseRepresentation
bin10100101111000010…
…10111100010111000
31001201210220021222122
422113201113202320
5140244300311100
65040342140412
7542601535124
oct122741274270
931653807878
1011132041400
1147a2824517
1221a8121708
1310853a935c
14778642584
15452472985
hex2978578b8

11132041400 has 48 divisors (see below), whose sum is σ = 27007311600. Its totient is φ = 4259214080.

The previous prime is 11132041399. The next prime is 11132041409. The reversal of 11132041400 is 414023111.

It is a happy number.

11132041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132041409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1205405 + ... + 1214604.

It is an arithmetic number, because the mean of its divisors is an integer number (562652325).

Almost surely, 211132041400 is an apocalyptic number.

11132041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132041400 is an abundant number, since it is smaller than the sum of its proper divisors (15875270200).

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

11132041400 is a wasteful number, since it uses less digits than its factorization.

11132041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420048 (or 2420039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11132041400 its reverse (414023111), we get a palindrome (11546064511).

The spelling of 11132041400 in words is "eleven billion, one hundred thirty-two million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 2420009 4840018 9680036 12100045 19360072 24200090 48400180 55660207 60500225 96800360 111320414 121000450 222640828 242000900 278301035 445281656 484001800 556602070 1113204140 1391505175 2226408280 2783010350 5566020700 11132041400