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10133212320 = 2533571141743
BaseRepresentation
bin10010110111111110…
…01000110010100000
3222011012102112002000
421123333020302200
5131223100243240
64353301524000
7506052612030
oct113377106240
928135375060
1010133212320
11432aa30440
121b69713600
13c5648c12a
146c1b1b8c0
153e4923430
hex25bfc8ca0

10133212320 has 768 divisors, whose sum is σ = 45357096960. Its totient is φ = 2051481600.

The previous prime is 10133212319. The next prime is 10133212339. The reversal of 10133212320 is 2321233101.

10133212320 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 12 + 320 = 666.

10133212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10133212293 and 10133212302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13637869 + ... + 13638611.

It is an arithmetic number, because the mean of its divisors is an integer number (59058720).

Almost surely, 210133212320 is an apocalyptic number.

10133212320 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 10133212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678548480).

10133212320 is an abundant number, since it is smaller than the sum of its proper divisors (35223884640).

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

10133212320 is a wasteful number, since it uses less digits than its factorization.

10133212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10133212320 its reverse (2321233101), we get a palindrome (12454445421).

The spelling of 10133212320 in words is "ten billion, one hundred thirty-three million, two hundred twelve thousand, three hundred twenty".