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212001342024 = 23343863238039
BaseRepresentation
bin1100010101110001000…
…0111100001001001000
3202021012201221000202110
43011130100330021020
511433134320421044
6241220404302320
721213406450233
oct3053420741110
9667181830673
10212001342024
1181a0025a08a
12351069a19a0
1316cb78337a4
14a391d6c41a
1557abdac6b9
hex315c43c248

212001342024 has 64 divisors (see below), whose sum is σ = 542959718400. Its totient is φ = 68943422016.

The previous prime is 212001342017. The next prime is 212001342079. The reversal of 212001342024 is 420243100212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771597 + ... + 1009635.

It is an arithmetic number, because the mean of its divisors is an integer number (8483745600).

Almost surely, 2212001342024 is an apocalyptic number.

212001342024 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 212001342024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271479859200).

212001342024 is an abundant number, since it is smaller than the sum of its proper divisors (330958376376).

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

212001342024 is a wasteful number, since it uses less digits than its factorization.

212001342024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238954 (or 238950 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212001342024 its reverse (420243100212), we get a palindrome (632244442236).

The spelling of 212001342024 in words is "two hundred twelve billion, one million, three hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 863 1032 1726 2589 3452 5178 6904 10356 20712 37109 74218 111327 148436 222654 238039 296872 445308 476078 714117 890616 952156 1428234 1904312 2856468 5712936 10235677 20471354 30707031 40942708 61414062 81885416 122828124 205427657 245656248 410855314 616282971 821710628 1232565942 1643421256 2465131884 4930263768 8833389251 17666778502 26500167753 35333557004 53000335506 70667114008 106000671012 212001342024