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2000211333120 = 2123257111337293
BaseRepresentation
bin11101000110110101111…
…000101101000000000000
321002012220011111200111200
4131012311320231000000
5230232413100124440
64130515010341200
7264340046543430
oct35066570550000
97065804450450
102000211333120
11701315174560
122837a288a800
13116808288c60
146cb4c9822c0
153706b824c30
hex1d1b5e2d000

2000211333120 has 2496 divisors, whose sum is σ = 9593160804864. Its totient is φ = 372013793280.

The previous prime is 2000211333079. The next prime is 2000211333181. The reversal of 2000211333120 is 213331120002.

2000211333120 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 211 + 333 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 = 2000211333093 and 2000211333102.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6826659694 + ... + 6826659986.

It is an arithmetic number, because the mean of its divisors is an integer number (3843413784).

Almost surely, 22000211333120 is an apocalyptic number.

2000211333120 is a gapful number since it is divisible by the number (20) 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 2000211333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796580402432).

2000211333120 is an abundant number, since it is smaller than the sum of its proper divisors (7592949471744).

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

2000211333120 is a wasteful number, since it uses less digits than its factorization.

2000211333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

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

Adding to 2000211333120 its reverse (213331120002), we get a palindrome (2213542453122).

The spelling of 2000211333120 in words is "two trillion, two hundred eleven million, three hundred thirty-three thousand, one hundred twenty".