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213330212424 = 233271313231101
BaseRepresentation
bin1100011010101101111…
…0001011011001001000
3202101122100102122020200
43012223132023121020
511443400013244144
6242000314452200
721261343613040
oct3065336133110
9671570378220
10213330212424
118252238608a
1235417a34060
1317169c39534
14a47a646720
1558388a1c69
hex31ab78b648

213330212424 has 96 divisors (see below), whose sum is σ = 665348523840. Its totient is φ = 60486192000.

The previous prime is 213330212419. The next prime is 213330212443. The reversal of 213330212424 is 424212033312.

213330212424 is a `hidden beast` number, since 21 + 3 + 3 + 3 + 0 + 212 + 424 = 666.

213330212424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1549527 + ... + 1681574.

It is an arithmetic number, because the mean of its divisors is an integer number (6930713790).

Almost surely, 2213330212424 is an apocalyptic number.

213330212424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213330212424 is an abundant number, since it is smaller than the sum of its proper divisors (452018311416).

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

213330212424 is a wasteful number, since it uses less digits than its factorization.

213330212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231251 (or 3231244 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213330212424 its reverse (424212033312), we get a palindrome (637542245736).

The spelling of 213330212424 in words is "two hundred thirteen billion, three hundred thirty million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 393 504 524 786 917 1048 1179 1572 1834 2358 2751 3144 3668 4716 5502 7336 8253 9432 11004 16506 22008 33012 66024 3231101 6462202 9693303 12924404 19386606 22617707 25848808 29079909 38773212 45235414 58159818 67853121 77546424 90470828 116319636 135706242 180941656 203559363 232639272 271412484 407118726 423274231 542824968 814237452 846548462 1269822693 1628474904 1693096924 2539645386 2962919617 3386193848 3809468079 5079290772 5925839234 7618936158 8888758851 10158581544 11851678468 15237872316 17777517702 23703356936 26666276553 30475744632 35555035404 53332553106 71110070808 106665106212 213330212424