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210101330880 = 263257107173563
BaseRepresentation
bin1100001110101100000…
…0111110001111000000
3202002022022201110110100
43003223000332033000
511420241420042010
6240304052402400
721115335563160
oct3035300761700
9662268643410
10210101330880
11811157a6641
1234876616400
1316a73cc7b3c
14a2518a05a0
1556ea19b2c0
hex30eb03e3c0

210101330880 has 672 divisors, whose sum is σ = 839924826624. Its totient is φ = 47215337472.

The previous prime is 210101330851. The next prime is 210101330903. The reversal of 210101330880 is 88033101012.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 373181479 + ... + 373182041.

Almost surely, 2210101330880 is an apocalyptic number.

210101330880 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 210101330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419962413312).

210101330880 is an abundant number, since it is smaller than the sum of its proper divisors (629823495744).

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

210101330880 is a wasteful number, since it uses less digits than its factorization.

210101330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 210101330880 its reverse (88033101012), we get a palindrome (298134431892).

The spelling of 210101330880 in words is "two hundred ten billion, one hundred one million, three hundred thirty thousand, eight hundred eighty".