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10011312033030 = 23257211241856333
BaseRepresentation
bin1001000110101111000010…
…1100101000110100000110
31022110001221112211001220200
42101223300230220310012
52303011131340024110
633143044441111330
72052202434134400
oct221536054506406
938401845731820
1010011312033030
11320a856714950
121158314188546
135780a79049a9
1426879b625b70
1512563d0bb6c0
hex91af0b28d06

10011312033030 has 288 divisors, whose sum is σ = 33168857518368. Its totient is φ = 2071638374400.

The previous prime is 10011312033007. The next prime is 10011312033049. The reversal of 10011312033030 is 3033021311001.

It is a happy number.

10011312033030 is a `hidden beast` number, since 10 + 0 + 11 + 312 + 0 + 330 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011312032994 and 10011312033012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11262744 + ... + 12119076.

It is an arithmetic number, because the mean of its divisors is an integer number (115169644161).

Almost surely, 210011312033030 is an apocalyptic number.

10011312033030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011312033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584428759184).

10011312033030 is an abundant number, since it is smaller than the sum of its proper divisors (23157545485338).

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

10011312033030 is a wasteful number, since it uses less digits than its factorization.

10011312033030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856612 (or 856602 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10011312033030 its reverse (3033021311001), we get a palindrome (13044333344031).

The spelling of 10011312033030 in words is "ten trillion, eleven billion, three hundred twelve million, thirty-three thousand, thirty".