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212033031320 = 2351113715712239
BaseRepresentation
bin1100010101111000100…
…1110100110010011000
3202021021221120000022002
43011132021310302120
511433220424000240
6241223455420132
721214243012655
oct3053611646230
9667257500262
10212033031320
1181a17133790
1235115524648
1316cc127a656
14a39625ac2c
1557aea6bd15
hex315e274c98

212033031320 has 128 divisors (see below), whose sum is σ = 524811571200. Its totient is φ = 76457241600.

The previous prime is 212033031311. The next prime is 212033031323. The reversal of 212033031320 is 23130330212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212033031292 and 212033031301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033031323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94698761 + ... + 94700999.

It is an arithmetic number, because the mean of its divisors is an integer number (4100090400).

Almost surely, 2212033031320 is an apocalyptic number.

212033031320 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 212033031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262405785600).

212033031320 is an abundant number, since it is smaller than the sum of its proper divisors (312778539880).

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

212033031320 is a wasteful number, since it uses less digits than its factorization.

212033031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 212033031320 its reverse (23130330212), we get a palindrome (235163361532).

The spelling of 212033031320 in words is "two hundred twelve billion, thirty-three million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 1096 1370 1507 1571 2239 2740 3014 3142 4478 5480 6028 6284 7535 7855 8956 11195 12056 12568 15070 15710 17281 17912 22390 24629 30140 31420 34562 44780 49258 60280 62840 69124 86405 89560 98516 123145 138248 172810 197032 215227 246290 306743 345620 430454 492580 613486 691240 860908 985160 1076135 1226972 1533715 1721816 2152270 2367497 2453944 3067430 3374173 3517469 4304540 4734994 6134860 6748346 7034938 8609080 9469988 11837485 12269720 13496692 14069876 16870865 17587345 18939976 23674970 26993384 28139752 33741730 35174690 38692159 47349940 67483460 70349380 77384318 94699880 134966920 140698760 154768636 193460795 309537272 386921590 481893253 773843180 963786506 1547686360 1927573012 2409466265 3855146024 4818932530 5300825783 9637865060 10601651566 19275730120 21203303132 26504128915 42406606264 53008257830 106016515660 212033031320