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10011012110000 = 245411415721893
BaseRepresentation
bin1001000110101101111011…
…0100100001011010110000
31022110001011122110101212022
42101223132310201122300
52303010023100010000
633142555004451012
72052162132625256
oct221533664413260
938401148411768
1010011012110000
11320a712393280
12115824b849a68
1357805a732c45
1426876d8725d6
15125621ac5585
hex91aded216b0

10011012110000 has 200 divisors, whose sum is σ = 26448653834064. Its totient is φ = 3639326080000.

The previous prime is 10011012109991. The next prime is 10011012110023. The reversal of 10011012110000 is 1121011001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10011012110000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 457259054 + ... + 457280946.

Almost surely, 210011012110000 is an apocalyptic number.

10011012110000 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 10011012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224326917032).

10011012110000 is an abundant number, since it is smaller than the sum of its proper divisors (16437641724064).

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

10011012110000 is a wasteful number, since it uses less digits than its factorization.

10011012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26089 (or 26068 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011012110000 its reverse (1121011001), we get a palindrome (10012133121001).

The spelling of 10011012110000 in words is "ten trillion, eleven billion, twelve million, one hundred ten thousand".