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212021003232 = 253211361710559
BaseRepresentation
bin1100010101110101101…
…1111100001111100000
3202021021002220220212100
43011131123330033200
511433204334100412
6241222345530400
721214035535443
oct3053533741740
9667232826770
10212021003232
1181a10368915
12351114a3a00
1316cbb92893c
14a39480965a
1557ad992edc
hex315d6fc3e0

212021003232 has 144 divisors (see below), whose sum is σ = 609313985280. Its totient is φ = 69928083456.

The previous prime is 212021003219. The next prime is 212021003237. The reversal of 212021003232 is 232300120212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021003237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20074369 + ... + 20084927.

It is an arithmetic number, because the mean of its divisors is an integer number (4231347120).

Almost surely, 2212021003232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304656992640).

212021003232 is an abundant number, since it is smaller than the sum of its proper divisors (397292982048).

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

212021003232 is a wasteful number, since it uses less digits than its factorization.

212021003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212021003232 its reverse (232300120212), we get a palindrome (444321123444).

The spelling of 212021003232 in words is "two hundred twelve billion, twenty-one million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 617 678 904 1017 1234 1356 1808 1851 2034 2468 2712 3616 3702 4068 4936 5424 5553 7404 8136 9872 10559 10848 11106 14808 16272 19744 21118 22212 29616 31677 32544 42236 44424 59232 63354 69721 84472 88848 95031 126708 139442 168944 177696 190062 209163 253416 278884 337888 380124 418326 506832 557768 627489 760248 836652 1013664 1115536 1193167 1254978 1520496 1673304 2231072 2386334 2509956 3040992 3346608 3579501 4772668 5019912 6514903 6693216 7159002 9545336 10039824 10738503 13029806 14318004 19090672 19544709 20079648 21477006 26059612 28636008 38181344 39089418 42954012 52119224 57272016 58634127 78178836 85908024 104238448 114544032 117268254 156357672 171816048 208476896 234536508 312715344 343632096 469073016 625430688 736184039 938146032 1472368078 1876292064 2208552117 2944736156 4417104234 5889472312 6625656351 8834208468 11778944624 13251312702 17668416936 23557889248 26502625404 35336833872 53005250808 70673667744 106010501616 212021003232