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212133043424 = 257197962561
BaseRepresentation
bin1100010110010000011…
…1010101110011100000
3202021112220202011010002
43011210013111303200
511433422024342144
6241241431155132
721216566055311
oct3054407256340
9667486664102
10212133043424
1181a68633315
1235142b15aa8
1317008bc6803
14a3a5652608
1557b872514e
hex31641d5ce0

212133043424 has 48 divisors (see below), whose sum is σ = 427885760736. Its totient is φ = 103494451200.

The previous prime is 212133043411. The next prime is 212133043427. The reversal of 212133043424 is 424340331212.

It is a super-3 number, since 3×2121330434243 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133043427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 260897 + ... + 701664.

It is an arithmetic number, because the mean of its divisors is an integer number (8914286682).

Almost surely, 2212133043424 is an apocalyptic number.

It is an amenable number.

212133043424 is an abundant number, since it is smaller than the sum of its proper divisors (215752717312).

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

212133043424 is an equidigital number, since it uses as much as digits as its factorization.

212133043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962739 (or 962731 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 212133043424 its reverse (424340331212), we get a palindrome (636473374636).

The spelling of 212133043424 in words is "two hundred twelve billion, one hundred thirty-three million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 71 97 142 194 284 388 568 776 1136 1552 2272 3104 6887 13774 27548 55096 110192 220384 962561 1925122 3850244 7700488 15400976 30801952 68341831 93368417 136683662 186736834 273367324 373473668 546734648 746947336 1093469296 1493894672 2186938592 2987789344 6629157607 13258315214 26516630428 53033260856 106066521712 212133043424