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10222110212193 = 32114121114338329
BaseRepresentation
bin1001010011000000010100…
…1111111000000001100001
31100012020001102210002111200
42110300011033320001201
52314434340203242233
633423550025431413
72103344264114325
oct224600517700141
940166042702450
1010222110212193
1132911997a7960
12119114403b569
13591c300a7499
14274a7787d985
1512ad79516313
hex94c053f8061

10222110212193 has 96 divisors (see below), whose sum is σ = 16592197265280. Its totient is φ = 6010550784000.

The previous prime is 10222110212183. The next prime is 10222110212243. The reversal of 10222110212193 is 39121201122201.

It is not a de Polignac number, because 10222110212193 - 25 = 10222110212161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222110212183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1227287253 + ... + 1227295581.

It is an arithmetic number, because the mean of its divisors is an integer number (172835388180).

Almost surely, 210222110212193 is an apocalyptic number.

It is an amenable number.

10222110212193 is a deficient number, since it is larger than the sum of its proper divisors (6370087053087).

10222110212193 is a wasteful number, since it uses less digits than its factorization.

10222110212193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 10222110212193 its reverse (39121201122201), we get a palindrome (49343311334394).

The spelling of 10222110212193 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, two hundred twelve thousand, one hundred ninety-three".

Divisors: 1 3 9 11 33 41 99 123 211 369 451 633 1353 1433 1899 2321 4059 4299 6963 8329 8651 12897 15763 20889 24987 25953 47289 58753 74961 77859 91619 95161 141867 176259 274857 285483 302363 341489 528777 646283 824571 856449 907089 1024467 1757419 1938849 2721267 3073401 3325993 3756379 5272257 5816547 9977979 11269137 11935457 12396883 15816771 19331609 29933937 33807411 35806371 37190649 57994827 72054179 107419113 111571947 131290027 136365713 173984481 216162537 393870081 409097139 489353737 648487611 792595969 1181610243 1227291417 1468061211 2377787907 2518381427 4404183633 5382891107 7133363721 7555144281 16148673321 22665432843 27702195697 48446019963 83106587091 103253638507 249319761273 309760915521 929282746563 1135790023577 3407370070731 10222110212193