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212420241240 = 233553188917681
BaseRepresentation
bin1100010111010100111…
…0111010011101011000
3202022021221011022110020
43011311032322131120
511440014040204430
6241330130550440
721226654154604
oct3056516723530
9668257138406
10212420241240
11820a5763289
1235203138420
131705356144c
14a3d1852504
1557d3a55b10
hex31753ba758

212420241240 has 128 divisors (see below), whose sum is σ = 649664971200. Its totient is φ = 55544053760.

The previous prime is 212420241221. The next prime is 212420241251. The reversal of 212420241240 is 42142024212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212420241240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12005200 + ... + 12022880.

Almost surely, 2212420241240 is an apocalyptic number.

212420241240 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 212420241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324832485600).

212420241240 is an abundant number, since it is smaller than the sum of its proper divisors (437244729960).

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

212420241240 is a wasteful number, since it uses less digits than its factorization.

212420241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19637 (or 19633 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212420241240 its reverse (42142024212), we get a palindrome (254562265452).

The spelling of 212420241240 in words is "two hundred twelve billion, four hundred twenty million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 1889 2120 3180 3778 5667 6360 7556 9445 11334 15112 17681 18890 22668 28335 35362 37780 45336 53043 56670 70724 75560 88405 100117 106086 113340 141448 176810 200234 212172 226680 265215 300351 353620 400468 424344 500585 530430 600702 707240 800936 937093 1001170 1060860 1201404 1501755 1874186 2002340 2121720 2402808 2811279 3003510 3748372 4004680 4685465 5622558 6007020 7496744 9370930 11245116 12014040 14056395 18741860 22490232 28112790 33399409 37483720 56225580 66798818 100198227 112451160 133597636 166997045 200396454 267195272 333994090 400792908 500991135 667988180 801585816 1001982270 1335976360 1770168677 2003964540 3540337354 4007929080 5310506031 7080674708 8850843385 10621012062 14161349416 17701686770 21242024124 26552530155 35403373540 42484048248 53105060310 70806747080 106210120620 212420241240