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33314242010 = 257360716001
BaseRepresentation
bin11111000001101011…
…101111110111011010
310011222201121211201012
4133001223233313122
51021211421221020
623145423453522
72256362246000
oct370153576732
9104881554635
1033314242010
1113146026115
126558a572a2
1331abbc2a4a
141880690a70
15ceea917c5
hex7c1aefdda

33314242010 has 64 divisors (see below), whose sum is σ = 70050355200. Its totient is φ = 11402496000.

The previous prime is 33314242009. The next prime is 33314242019. The reversal of 33314242010 is 1024241333.

It is a super-2 number, since 2×333142420102 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33314242019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074010 + ... + 2090010.

It is an arithmetic number, because the mean of its divisors is an integer number (1094536800).

Almost surely, 233314242010 is an apocalyptic number.

33314242010 is an abundant number, since it is smaller than the sum of its proper divisors (36736113190).

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

33314242010 is a wasteful number, since it uses less digits than its factorization.

33314242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16636 (or 16622 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 33314242010 its reverse (1024241333), we get a palindrome (34338483343).

The spelling of 33314242010 in words is "thirty-three billion, three hundred fourteen million, two hundred forty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 607 686 1214 1715 3035 3430 4249 6070 8498 16001 21245 29743 32002 42490 59486 80005 112007 148715 160010 208201 224014 297430 416402 560035 784049 1041005 1120070 1568098 2082010 3920245 5488343 7840490 9712607 10976686 19425214 27441715 48563035 54883430 67988249 97126070 135976498 339941245 475917743 679882490 951835486 2379588715 3331424201 4759177430 6662848402 16657121005 33314242010