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221212120323231 = 372503354711393
BaseRepresentation
bin110010010011000011110101…
…110110100001010010011111
31002000020200011000022220000000
4302103003311312201102133
5212443314410300320411
62102251240052505343
764411022363155002
oct6223036566412237
91060220130286000
10221212120323231
1164537595a30734
122098848361b253
1396582a0c001bb
143c8aa1bd89539
151a8937cbec956
hexc930f5da149f

221212120323231 has 64 divisors (see below), whose sum is σ = 332022866365440. Its totient is φ = 147361331469312.

The previous prime is 221212120323217. The next prime is 221212120323239. The reversal of 221212120323231 is 132323021212122.

221212120323231 is a `hidden beast` number, since 2 + 2 + 1 + 212 + 120 + 3 + 2 + 323 + 1 = 666.

It is not a de Polignac number, because 221212120323231 - 218 = 221212120061087 is a prime.

It is a super-2 number, since 2×2212121203232312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221212120323195 and 221212120323204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212120323239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19416488671 + ... + 19416500063.

It is an arithmetic number, because the mean of its divisors is an integer number (5187857286960).

Almost surely, 2221212120323231 is an apocalyptic number.

221212120323231 is a deficient number, since it is larger than the sum of its proper divisors (110810746042209).

221212120323231 is an equidigital number, since it uses as much as digits as its factorization.

221212120323231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17464 (or 17446 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221212120323231 its reverse (132323021212122), we get a palindrome (353535141535353).

The spelling of 221212120323231 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred twenty million, three hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 27 81 243 729 2187 2503 3547 7509 10641 11393 22527 31923 34179 67581 95769 102537 202743 287307 307611 608229 861921 922833 1824687 2585763 2768499 5474061 7757289 8305497 8878141 24916491 26634423 28516679 40410971 79903269 85550037 121232913 239709807 256650111 363698739 719129421 769950333 1091096217 2157388263 2309850999 3273288651 6472164789 6929552997 9819865953 19416494367 20788658991 29459597859 62365976973 88378793577 101148660413 303445981239 910337943717 2731013831151 8193041493453 24579124480359 73737373441077 221212120323231