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211030024000 = 265326378753
BaseRepresentation
bin1100010010001001011…
…1101001111101000000
3202011201001012221220211
43010202113221331000
511424142141232000
6240540145443504
721150343415245
oct3044227517500
9664631187824
10211030024000
1181551a46514
1234a95640594
1316b915296b3
14a2dcd695cc
1557519947ba
hex31225e9f40

211030024000 has 56 divisors (see below), whose sum is σ = 522615874248. Its totient is φ = 84412006400.

The previous prime is 211030023983. The next prime is 211030024001. The reversal of 211030024000 is 420030112.

It can be written as a sum of positive squares in 4 ways, for example, as 3225331264 + 207804692736 = 56792^2 + 455856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211030024001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13181377 + ... + 13197376.

Almost surely, 2211030024000 is an apocalyptic number.

211030024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211030024000 is an abundant number, since it is smaller than the sum of its proper divisors (311585850248).

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

211030024000 is an equidigital number, since it uses as much as digits as its factorization.

211030024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26378780 (or 26378760 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 211030024000 its reverse (420030112), we get a palindrome (211450054112).

The spelling of 211030024000 in words is "two hundred eleven billion, thirty million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 26378753 52757506 105515012 131893765 211030024 263787530 422060048 527575060 659468825 844120096 1055150120 1318937650 1688240192 2110300240 2637875300 3297344125 4220600480 5275750600 6594688250 8441200960 10551501200 13189376500 21103002400 26378753000 42206004800 52757506000 105515012000 211030024000