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11331100200132 = 22322910853544253
BaseRepresentation
bin1010010011100011101000…
…1100111100110011000100
31111010020112212002120021200
42210320322030330303010
52441122043122401012
640033234025542500
72246434140353256
oct244707214746304
944106485076250
1011331100200132
113679546730949
121330062644a30
1364269753883b
142b25dccb3cd6
15149b343673dc
hexa4e3a33ccc4

11331100200132 has 36 divisors (see below), whose sum is σ = 29630175813420. Its totient is φ = 3646790868672.

The previous prime is 11331100200127. The next prime is 11331100200139. The reversal of 11331100200132 is 23100200113311.

11331100200132 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 0 + 0 + 200 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6546976394436 + 4784123805696 = 2558706^2 + 2187264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11331100200139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5426771083 + ... + 5426773170.

Almost surely, 211331100200132 is an apocalyptic number.

11331100200132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331100200132 is an abundant number, since it is smaller than the sum of its proper divisors (18299075613288).

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

11331100200132 is a wasteful number, since it uses less digits than its factorization.

11331100200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853544292 (or 10853544287 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331100200132 its reverse (23100200113311), we get a palindrome (34431300313443).

The spelling of 11331100200132 in words is "eleven trillion, three hundred thirty-one billion, one hundred million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 10853544253 21707088506 32560632759 43414177012 65121265518 97681898277 130242531036 195363796554 314752783337 390727593108 629505566674 944258350011 1259011133348 1888516700022 2832775050033 3777033400044 5665550100066 11331100200132