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10011011010000 = 2435471113333367
BaseRepresentation
bin1001000110101101111011…
…0000010100110111010000
31022110001011120101111221120
42101223132300110313100
52303010022304310000
633142554525122240
72052162120364260
oct221533660246720
938401146344846
1010011011010000
11320a711801890
12115824b3b9380
1357805a439360
1426876d6677a0
151256219596a0
hex91adec14dd0

10011011010000 has 800 divisors, whose sum is σ = 43390624155648. Its totient is φ = 1920188160000.

The previous prime is 10011011009999. The next prime is 10011011010001. The reversal of 10011011010000 is 1011011001.

It is an interprime number because it is at equal distance from previous prime (10011011009999) and next prime (10011011010001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011011010001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29863317 + ... + 30196683.

Almost surely, 210011011010000 is an apocalyptic number.

10011011010000 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 10011011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695312077824).

10011011010000 is an abundant number, since it is smaller than the sum of its proper divisors (33379613145648).

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

10011011010000 is a wasteful number, since it uses less digits than its factorization.

10011011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333429 (or 333408 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011011010000 its reverse (1011011001), we get a palindrome (10012022021001).

The spelling of 10011011010000 in words is "ten trillion, eleven billion, eleven million, ten thousand".