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30321220222332 = 223213472958746591
BaseRepresentation
bin1101110010011101101011…
…00011110111110101111100
310222100200100222012202211200
412321032311203313311330
512433240324334103312
6144253213135215500
76246431050260144
oct671166543676574
9128320328182750
1030321220222332
119730180385486
123498557377590
1313bc38169a620
1476b7aa889924
15378ad03d60dc
hex1b93b58f7d7c

30321220222332 has 144 divisors (see below), whose sum is σ = 84301951598592. Its totient is φ = 9130599365760.

The previous prime is 30321220222331. The next prime is 30321220222351. The reversal of 30321220222332 is 23322202212303.

30321220222332 is a `hidden beast` number, since 3 + 0 + 321 + 2 + 2 + 0 + 2 + 2 + 2 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30321220222296 and 30321220222305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30321220222331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650772357 + ... + 650818947.

Almost surely, 230321220222332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30321220222332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42150975799296).

30321220222332 is an abundant number, since it is smaller than the sum of its proper divisors (53980731376260).

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

30321220222332 is a wasteful number, since it uses less digits than its factorization.

30321220222332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76248 (or 76243 counting only the distinct ones).

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

Adding to 30321220222332 its reverse (23322202212303), we get a palindrome (53643422434635).

The spelling of 30321220222332 in words is "thirty trillion, three hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 5499 7332 10998 21996 29587 46591 59174 88761 93182 118348 139773 177522 186364 266283 279546 355044 384631 419319 532566 559092 605683 769262 838638 1065132 1153893 1211366 1390589 1538524 1677276 1817049 2189777 2307786 2422732 2781178 3461679 3634098 4171767 4379554 4615572 5451147 5562356 6569331 6923358 7268196 8343534 8759108 10902294 12515301 13138662 13846716 16687068 18077657 19707993 21804588 25030602 26277324 28467101 36155314 39415986 50061204 54232971 56934202 72310628 78831972 85401303 108465942 113868404 162698913 170802606 216931884 256203909 325397826 341605212 512407818 650795652 1024815636 1378487917 2756975834 4135463751 5513951668 8270927502 12406391253 16541855004 17920342921 24812782506 35840685842 49625565012 53761028763 64788932099 71681371684 107522057526 129577864198 161283086289 194366796297 215044115052 259155728396 322566172578 388733592594 583100388891 645132345156 777467185188 842256117287 1166200777782 1684512234574 2332401555564 2526768351861 3369024469148 5053536703722 7580305055583 10107073407444 15160610111166 30321220222332