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11002003241472 = 293711386951
BaseRepresentation
bin1010000000011001101001…
…1111101011101000000000
31102221210002112002220000000
42200012122133223220000
52420224100312211342
635222130040000000
72213603616355425
oct240063237535000
942853075086000
1011002003241472
113561a1800a981
121298318760000
1361a63b464939
142a06dd635d4c
151412c24ac44c
hexa019a7eba00

11002003241472 has 320 divisors, whose sum is σ = 33260892952320. Its totient is φ = 3634838323200.

The previous prime is 11002003241399. The next prime is 11002003241479. The reversal of 11002003241472 is 27414230020011.

11002003241472 is a `hidden beast` number, since 1 + 10 + 0 + 200 + 32 + 414 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11002003241479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126487597 + ... + 126574547.

It is an arithmetic number, because the mean of its divisors is an integer number (103940290476).

Almost surely, 211002003241472 is an apocalyptic number.

11002003241472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002003241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630446476160).

11002003241472 is an abundant number, since it is smaller than the sum of its proper divisors (22258889710848).

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

11002003241472 is an frugal number, since it uses more digits than its factorization.

11002003241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87103 (or 87069 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11002003241472 its reverse (27414230020011), we get a palindrome (38416233261483).

The spelling of 11002003241472 in words is "eleven trillion, two billion, three million, two hundred forty-one thousand, four hundred seventy-two".