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211030032000 = 273534396459
BaseRepresentation
bin1100010010001001011…
…1101011111010000000
3202011201001020100220010
43010202113223322000
511424142142011000
6240540145544520
721150343450464
oct3044227537200
9664631210803
10211030032000
1181551a51527
1234a95645140
1316b91530228
14a2dcd6c4a4
155751996d50
hex31225ebe80

211030032000 has 128 divisors (see below), whose sum is σ = 699564715200. Its totient is φ = 56274662400.

The previous prime is 211030031983. The next prime is 211030032047. The reversal of 211030032000 is 230030112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 2150230 + ... + 2246229.

Almost surely, 2211030032000 is an apocalyptic number.

211030032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211030032000 is an abundant number, since it is smaller than the sum of its proper divisors (488534683200).

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

211030032000 is an equidigital number, since it uses as much as digits as its factorization.

211030032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396491 (or 4396469 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 211030032000 its reverse (230030112), we get a palindrome (211260062112).

The spelling of 211030032000 in words is "two hundred eleven billion, thirty million, thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 4396459 8792918 13189377 17585836 21982295 26378754 35171672 43964590 52757508 65946885 70343344 87929180 105515016 109911475 131893770 140686688 175858360 211030032 219822950 263787540 281373376 329734425 351716720 422060064 439645900 527575080 549557375 562746752 659468850 703433440 844120128 879291800 1055150160 1099114750 1318937700 1406866880 1648672125 1688240256 1758583600 2110300320 2198229500 2637875400 2813733760 3297344250 3517167200 4220600640 4396459000 5275750800 6594688500 7034334400 8441201280 8792918000 10551501600 13189377000 14068668800 17585836000 21103003200 26378754000 35171672000 42206006400 52757508000 70343344000 105515016000 211030032000