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12211201022193 = 32294119935915973
BaseRepresentation
bin1011000110110010010001…
…0011001001100011110001
31121020101020121001200010200
42301230210103021203301
53100032014430202233
641545425344545413
72400141642044625
oct261544423114361
947211217050120
1012211201022193
1139888176a4838
121452742622269
136a768548aa34
1430304d53b185
151629948e1313
hexb1b244c98f1

12211201022193 has 96 divisors (see below), whose sum is σ = 18839096640000. Its totient is φ = 7608110146560.

The previous prime is 12211201022149. The next prime is 12211201022201. The reversal of 12211201022193 is 39122010211221.

12211201022193 is a `hidden beast` number, since 1 + 221 + 120 + 10 + 221 + 93 = 666.

It is not a de Polignac number, because 12211201022193 - 217 = 12211200891121 is a prime.

It is a super-2 number, since 2×122112010221932 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211201002193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764482155 + ... + 764498127.

It is an arithmetic number, because the mean of its divisors is an integer number (196240590000).

Almost surely, 212211201022193 is an apocalyptic number.

It is an amenable number.

12211201022193 is a deficient number, since it is larger than the sum of its proper divisors (6627895617807).

12211201022193 is a wasteful number, since it uses less digits than its factorization.

12211201022193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16607 (or 16604 counting only the distinct ones).

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

The spelling of 12211201022193 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twenty-two thousand, one hundred ninety-three".

Divisors: 1 3 9 29 41 87 123 199 261 359 369 597 1077 1189 1791 3231 3567 5771 8159 10411 10701 14719 15973 17313 24477 31233 44157 47919 51939 71441 73431 93699 132471 143757 214323 236611 426851 463217 642969 654893 709833 1280553 1389651 1964679 2071789 2129499 2929081 3178627 3841659 4168953 5734307 5894037 6215367 8787243 9535881 17202921 18646101 18991897 26361729 28607643 51608763 56975691 84943349 92180183 130323707 166294903 170927073 235106587 254830047 276540549 390971121 498884709 705319761 764490141 829621647 1141127093 1172913363 1496654127 2115959283 3423381279 3779387503 6818091023 10270143837 11338162509 20454273069 33092685697 34014487527 46786210813 61362819207 99278057091 140358632439 297834171273 421075897317 1356800113577 4070400340731 12211201022193