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212103420144 = 24371189644801
BaseRepresentation
bin1100010110001001011…
…0010101100011110000
3202021110212000010121120
43011202112111203300
511433341433421034
6241234452222240
721216056216130
oct3054226254360
9667425003546
10212103420144
1181a5293a970
123513500a980
1317002a24145
14a3a1740ac0
1557b5d22c49
hex31625958f0

212103420144 has 160 divisors (see below), whose sum is σ = 690815070720. Its totient is φ = 54472704000.

The previous prime is 212103420127. The next prime is 212103420223. The reversal of 212103420144 is 441024301212.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6544 + ... + 651344.

It is an arithmetic number, because the mean of its divisors is an integer number (4317594192).

Almost surely, 2212103420144 is an apocalyptic number.

212103420144 is a gapful number since it is divisible by the number (24) 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 212103420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345407535360).

212103420144 is an abundant number, since it is smaller than the sum of its proper divisors (478711650576).

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

212103420144 is a wasteful number, since it uses less digits than its factorization.

212103420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644919 (or 644913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212103420144 its reverse (441024301212), we get a palindrome (653127721356).

The spelling of 212103420144 in words is "two hundred twelve billion, one hundred three million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 89 112 132 154 168 176 178 231 264 267 308 336 356 462 528 534 616 623 712 924 979 1068 1232 1246 1424 1848 1869 1958 2136 2492 2937 3696 3738 3916 4272 4984 5874 6853 7476 7832 9968 11748 13706 14952 15664 20559 23496 27412 29904 41118 46992 54824 82236 109648 164472 328944 644801 1289602 1934403 2579204 3868806 4513607 5158408 7092811 7737612 9027214 10316816 13540821 14185622 15475224 18054428 21278433 27081642 28371244 30950448 36108856 42556866 49649677 54163284 56742488 57387289 72217712 85113732 99299354 108326568 113484976 114774578 148949031 170227464 172161867 198598708 216653136 229549156 297898062 340454928 344323734 397197416 401711023 459098312 595796124 631260179 688647468 794394832 803422046 918196624 1191592248 1205133069 1262520358 1377294936 1606844092 1893780537 2383184496 2410266138 2525040716 2754589872 3213688184 3787561074 4418821253 4820532276 5050081432 6427376368 7575122148 8837642506 9641064552 10100162864 13256463759 15150244296 17675285012 19282129104 26512927518 30300488592 35350570024 53025855036 70701140048 106051710072 212103420144