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212001012304 = 241910719134123
BaseRepresentation
bin1100010101110000111…
…1101011101001010000
3202021012201022021110121
43011130033223221100
511433134224343204
6241220353240024
721213403605034
oct3053417535120
9667181267417
10212001012304
1181a00054394
1235106863014
1316cb77496a3
14a391cc41c4
1557abd44b54
hex315c3eba50

212001012304 has 80 divisors (see below), whose sum is σ = 438709063680. Its totient is φ = 98959259520.

The previous prime is 212001012287. The next prime is 212001012319. The reversal of 212001012304 is 403210100212.

212001012304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6195787 + ... + 6229909.

It is an arithmetic number, because the mean of its divisors is an integer number (5483863296).

Almost surely, 2212001012304 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 212001012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219354531840).

212001012304 is an abundant number, since it is smaller than the sum of its proper divisors (226708051376).

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

212001012304 is a wasteful number, since it uses less digits than its factorization.

212001012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34448 (or 34442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212001012304 its reverse (403210100212), we get a palindrome (615211112516).

The spelling of 212001012304 in words is "two hundred twelve billion, one million, twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 107 152 191 214 304 382 428 764 856 1528 1712 2033 3056 3629 4066 7258 8132 14516 16264 20437 29032 32528 34123 40874 58064 68246 81748 136492 163496 272984 326992 388303 545968 648337 776606 1296674 1553212 2593348 3106424 3651161 5186696 6212848 6517493 7302322 10373392 13034986 14604644 26069972 29209288 52139944 58418576 69372059 104279888 123832367 138744118 247664734 277488236 495329468 554976472 697371751 990658936 1109952944 1394743502 1981317872 2789487004 5578974008 11157948016 13250063269 26500126538 53000253076 106000506152 212001012304