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212420333304 = 23333229304561
BaseRepresentation
bin1100010111010100111…
…1010000111011111000
3202022021221022222202000
43011311033100323320
511440014101131204
6241330132541000
721226655020164
oct3056517207370
9668257288660
10212420333304
11820a5816473
1235203181760
131705359431a
14a3d1877ca4
1557d3a73039
hex31753d0ef8

212420333304 has 64 divisors (see below), whose sum is σ = 590241156000. Its totient is φ = 70784616960.

The previous prime is 212420333269. The next prime is 212420333309. The reversal of 212420333304 is 403333024212.

212420333304 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 20 + 333 + 304 = 666.

It is a super-3 number, since 3×2124203333043 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212420333309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545184 + ... + 849744.

Almost surely, 2212420333304 is an apocalyptic number.

212420333304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212420333304 is an abundant number, since it is smaller than the sum of its proper divisors (377820822696).

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

212420333304 is a wasteful number, since it uses less digits than its factorization.

212420333304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307805 (or 307795 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 212420333304 its reverse (403333024212), we get a palindrome (615753357516).

The spelling of 212420333304 in words is "two hundred twelve billion, four hundred twenty million, three hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3229 6458 9687 12916 19374 25832 29061 38748 58122 77496 87183 116244 174366 232488 304561 348732 609122 697464 913683 1218244 1827366 2436488 2741049 3654732 5482098 7309464 8223147 10964196 16446294 21928392 32892588 65785176 983427469 1966854938 2950282407 3933709876 5900564814 7867419752 8850847221 11801129628 17701694442 23602259256 26552541663 35403388884 53105083326 70806777768 106210166652 212420333304