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221213010410304 = 26311104741008717
BaseRepresentation
bin110010010011000100101010…
…111001111011101101000000
31002000020202110001011222220220
4302103010222321323231000
5212443323221131112204
62102251504250303040
764411053421606023
oct6223045271735500
91060222401158826
10221213010410304
1164537a02402290
1220988691727a80
1396583b3435843
143c8aaa42851ba
151a893d0e1c1d9
hexc9312ae7bb40

221213010410304 has 56 divisors (see below), whose sum is σ = 638501189144928. Its totient is φ = 67034245578240.

The previous prime is 221213010410297. The next prime is 221213010410317. The reversal of 221213010410304 is 403014010312122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52370502247 + ... + 52370506470.

Almost surely, 2221213010410304 is an apocalyptic number.

221213010410304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221213010410304 is an abundant number, since it is smaller than the sum of its proper divisors (417288178734624).

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

221213010410304 is a wasteful number, since it uses less digits than its factorization.

221213010410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104741008743 (or 104741008733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221213010410304 its reverse (403014010312122), we get a palindrome (624227020722426).

The spelling of 221213010410304 in words is "two hundred twenty-one trillion, two hundred thirteen billion, ten million, four hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 104741008717 209482017434 314223026151 418964034868 628446052302 837928069736 1152151095887 1256892104604 1675856139472 2304302191774 2513784209208 3351712278944 3456453287661 4608604383548 5027568418416 6703424557888 6912906575322 9217208767096 10055136836832 13825813150644 18434417534192 20110273673664 27651626301288 36868835068384 55303252602576 73737670136768 110606505205152 221213010410304