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1102003066080 = 253257421259681
BaseRepresentation
bin10000000010010100100…
…000000101010011100000
310220100110111012001211100
4100002110200011103200
5121023400241103310
62202130410114400
7142421443336230
oct20022440052340
93810414161740
101102003066080
113953a2002204
121596aa71ba00
137cbc2a87087
143b4a151dcc0
151d9eb76bec0
hex100948054e0

1102003066080 has 288 divisors, whose sum is σ = 4308037126848. Its totient is φ = 251287142400.

The previous prime is 1102003066067. The next prime is 1102003066103. The reversal of 1102003066080 is 806603002011.

1102003066080 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 0 + 30 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4113840 + ... + 4373520.

It is an arithmetic number, because the mean of its divisors is an integer number (14958462246).

Almost surely, 21102003066080 is an apocalyptic number.

1102003066080 is a gapful number since it is divisible by the number (10) 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 1102003066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154018563424).

1102003066080 is an abundant number, since it is smaller than the sum of its proper divisors (3206034060768).

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

1102003066080 is a wasteful number, since it uses less digits than its factorization.

1102003066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260130 (or 260119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1102003066080 its reverse (806603002011), we get a palindrome (1908606068091).

The spelling of 1102003066080 in words is "one trillion, one hundred two billion, three million, sixty-six thousand, eighty".