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30033020020320 = 25325151313441281
BaseRepresentation
bin1101101010000100110110…
…11111010110011001100000
310221100010110210200120220200
412311002123133112121200
512414030111111122240
6143512551240505200
76216546143053062
oct665023337263140
9127303423616820
1030033020020320
119629a2892a049
12345072577b200
13139b1423a8305
1475b86a92d732
15371363aed930
hex1b509b7d6660

30033020020320 has 288 divisors, whose sum is σ = 103496246852544. Its totient is φ = 7930331136000.

The previous prime is 30033020020309. The next prime is 30033020020357. The reversal of 30033020020320 is 2302002033003.

30033020020320 is a `hidden beast` number, since 300 + 3 + 3 + 0 + 20 + 0 + 20 + 320 = 666.

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

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 = 30033020020293 and 30033020020302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67838080 + ... + 68279360.

It is an arithmetic number, because the mean of its divisors is an integer number (359361968238).

Almost surely, 230033020020320 is an apocalyptic number.

30033020020320 is a gapful number since it is divisible by the number (30) 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 30033020020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51748123426272).

30033020020320 is an abundant number, since it is smaller than the sum of its proper divisors (73463226832224).

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

30033020020320 is a wasteful number, since it uses less digits than its factorization.

30033020020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441766 (or 441755 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30033020020320 its reverse (2302002033003), we get a palindrome (32335022053323).

The spelling of 30033020020320 in words is "thirty trillion, thirty-three billion, twenty million, twenty thousand, three hundred twenty".